Availability: Cyclic homology

Saved in:

Bibliographic Details
Title:	Cyclic homology
From:	Jean-Louis Loday
Person:	Loday, Jean-Louis 1946-2012 Verfasser aut
Main Author:	Loday, Jean-Louis 1946-2012 (Author)
Format:	Book
Language:	English
Published:	Berlin ; Heidelberg Springer [1998]
Edition:	Second edition
Series:	Die Grundlehren der mathematischen Wissenschaften 301
Subjects:	Homologie Homology theory Homologietheorie Zyklische Homologie
Online Access:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007689733&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Item Description:	Literaturverzeichnis: Seite 431 - 444
Physical Description:	xviii, 513 Seiten Illustrationen, Diagramme
ISBN:	3540630740 9783540630746 9783642083167

Staff View

MARC


LEADER	00000nam a2200000 cb4500
001	BV011434358
003	DE-604
005	20220407
007	t\|
008	970708s1998 gw a\|\|\| \|\|\|\| 00\|\|\| eng d
016	7		\|a 950487881 \|2 DE-101
020			\|a 3540630740 \|c hardcover \|9 3-540-63074-0
020			\|a 9783540630746 \|c hardcover \|9 978-3-540-63074-6
020			\|a 9783642083167 \|c softcover \|9 978-3-642-08316-7
035			\|a (OCoLC)37180282
035			\|a (DE-599)BVBBV011434358
040			\|a DE-604 \|b ger \|e rda
041	0		\|a eng
044			\|a gw \|c DE
049			\|a DE-703 \|a DE-384 \|a DE-355 \|a DE-706 \|a DE-634 \|a DE-83 \|a DE-11 \|a DE-188 \|a DE-19 \|a DE-20
050		0	\|a QA612.3
082	0		\|a 512/.55 \|2 21
084			\|a SK 300 \|0 (DE-625)143230: \|2 rvk
084			\|a SK 320 \|0 (DE-625)143231: \|2 rvk
100	1		\|a Loday, Jean-Louis \|d 1946-2012 \|e Verfasser \|0 (DE-588)122970756 \|4 aut
245	1	0	\|a Cyclic homology \|c Jean-Louis Loday
250			\|a Second edition
264		1	\|a Berlin ; Heidelberg \|b Springer \|c [1998]
264		4	\|c © 1998
300			\|a xviii, 513 Seiten \|b Illustrationen, Diagramme
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Die Grundlehren der mathematischen Wissenschaften \|v 301
500			\|a Literaturverzeichnis: Seite 431 - 444
650		7	\|a Homologie \|2 ram
650		4	\|a Homology theory
650	0	7	\|a Homologietheorie \|0 (DE-588)4141714-8 \|2 gnd \|9 rswk-swf
650	0	7	\|a Zyklische Homologie \|0 (DE-588)4269326-3 \|2 gnd \|9 rswk-swf
689	0	0	\|a Zyklische Homologie \|0 (DE-588)4269326-3 \|D s
689	0		\|5 DE-604
689	1	0	\|a Homologietheorie \|0 (DE-588)4141714-8 \|D s
689	1		\|8 1\p \|5 DE-604
776	0	8	\|i Erscheint auch als \|n Online-Ausgabe \|z 978-3-662-11389-9
830		0	\|a Die Grundlehren der mathematischen Wissenschaften \|v 301 \|w (DE-604)BV000000395 \|9 301
856	4	2	\|m HBZ Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007689733&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
943	1		\|a oai:aleph.bib-bvb.de:BVB01-007689733

Record in the Search Index

DE-BY-UBR_call_number	801/SK 300 L821(2)
DE-BY-UBR_katkey	3245430
DE-BY-UBR_location	UB Handapparat Mathematik Prof. E. Kings
DE-BY-UBR_media_number	TEMP11746132
_version_	1835101404421685248
adam_text	Contents Introduction XV Notation and Terminology XIX Chapter 1. Hochschild Homology 1 1.0 Chain Complexes 2 1.1 Hochschild Homology 8 1.2 The Trace Map and Morita Invariance Hi 1.3 Derivations, Differential Forms 23 1.4 Nonunital Algebras and Excision 29 1.5 Hochschild Cohomology, Cotrace, Duality 37 1.6 Simplicial Modules 44 Bibliographical Comments on Chapter 1 48 Chapter 2. Cyclic Homology of Algebras 51 2.1 Definition of Cyclic Homology 53 2.2 Connes Exact Sequence, Morita Invariance. Excision 61 2.3 Differential Forms, de Rham Cohomology 68 2.4 Cyclic Cohomology 72 2.5 Cyclic Modules 75 2.6 Non commutative Differential Forms 83 Bibliographical Comments on Chapter 2 88 Chapter 3. Smooth Algebras and Other Examples 89 3.1 Tensor Algebra 90 3.2 Symmetric Algebras 94 3.3 Universal Enveloping Algebras of Lie Algebras 97 3.4 Smooth Algebras 101 3.5 Andre Quillen Homology 107 3.6 Deligne Cohomology 112 Bibliographical Comments on Chapter 3 Ill XII Contents Chapter 4. Operations on Hochschild and Cyclic Homology . 115 4.1 Conjugation and Derivation 116 4.2 Shuffle Product in Hochschild Homology 123 4.3 Cyclic Shuffles and Kiinneth Sequence for HC 127 4.4 Product, Coproduct in Cyclic Homology 133 4.5 A Decomposition for Hochschild Homology 139 4.6 A Decomposition for Cyclic Homology 149 Bibliographical Comments on Chapter 4 155 Chapter 5. Variations on Cyclic Homology 157 5.1 The Periodic and Negative Theories 158 5.2 Dihedral and Quaternionic Homology 167 5.3 Differential Graded Algebras 175 5.4 Commutative Differential Graded Algebras 182 5.5 Bivariant Cyclic Cohomology 190 5.6 Topological Algebras, Entire Cyclic Cohomology 195 Bibliographical Comments on Chapter 5 199 Chapter 6. The Cyclic Category, Tor and Ext Interpretation 201 6.1 Connes Cyclic Category AC and the Category AS 202 6.2 Tor and Ext Interpretation of HH and HC 211 6.3 Crossed Simplicial Groups 214 6.4 The Category of Finite Sets and the A Decomposition 220 Bibliographical Comments on Chapter 6 225 Chapter 7. Cyclic Spaces and S 1 Equivariant Homology .... 227 7.1 Cyclic Sets and Cyclic Spaces 228 7.2 Cyclic Homology and S : Equivariant Homology 234 7.3 Examples of Cyclic Sets and the Free Loop Space 241 7.4 Hochschild Homology and Cyclic Homology of Group Algebras 250 Bibliographical Comments on Chapter 7 256 Chapter 8. Chern Character 257 8.1 The Classical Chern Character a la Chern Weil 258 8.2 The Grothendieck Group KQ 261 8.3 The Chern Character from Ko to Cyclic Homology 264 8.4 The Dennis Trace Map and the Generalized Chern Character . . 269 8.5 The Bass Trace Conjecture and the Idempotent Conjecture .... 277 Bibliographical Comments on Chapter 8 279 Contents XIII Chapter 9. Classical Invariant Theory 281 9.1 The Fundamental Theorems of Invariant Theory 282 9.2 Coinvariant Theory and the Trace Map 284 9.3 Cayley Hamilton and Amitsur Levitzki Formulas 287 9.4 Proofs of the Fundamental Theorems 291 9.5 Invariant Theory for the Orthogonal and Symplectic Groups . . . 293 Bibliographical Comments on Chapter 9 297 Chapter 10. Homology of Lie Algebras of Matrices 299 10.1 Homology of Lie Algebras 301 10.2 Homology of the Lie Algebra gl(A) 306 10.3 Stability and First Obstruction to Stability 315 10.4 Homology with Coefficients in the Adjoint Representation ..... 320 10.5 The Symplectic and Orthogonal Cases 323 10.6 Non commutative Homology (or Leibniz Homology) of the Lie Algebra of Matrices 326 Bibliographical Comments on Chapter 10 340 Chapter 11. Algebraic K Theory 341 11.1 The Bass Whitehead Group Kx and the Milnor Group K2 ¦ ... 342 11.2 Higher Algebraic tf Theory 349 11.3 Algebraic K Theory and Cyclic Homology of Nilpot.ent Ideals . . 361 11.4 Absolute and Relative Chern Characters 371 11.5 Secondary Characteristic Classes 375 Bibliographical Comments on Chapter 11 379 Chapter 12. Non commutative Differential Geometry ....... 381 12.1 Foliations and the Godbillon Vey Invariant 382 12.2 Fredholm Modules and Index Theorems 385 12.3 Novikov Conjecture on Higher Signatures 390 12.4 The A Theoretic Analogue of the Novikov Conjecture 395 Chapter 13. Mac Lane (co)homology 399 by Jean Louis Loday and Teimuraz Pirashvili 13.1 (Co)homology with Coefficients in Non additive Bimodules .... 401 13.2 Mac Lane (co)homology 408 13.3 Stable K theory and Mac Lane homology 417 13.4 Calculations 428 Bibliographical Comments on Chapter 13 142 References of Chapter 13 443 XIV Contents Appendices A. Hopf Algebras 447 B. Simplicial 453 C. Homology of Discrete Groups and Small Categories 461 D. Spectral Sequences 469 E. Smooth Algebras 473 References 485 References 1992 1996 499 Symbols 509 Index 511
any_adam_object	1
author	Loday, Jean-Louis 1946-2012
author_GND	(DE-588)122970756
author_facet	Loday, Jean-Louis 1946-2012
author_role	aut
author_sort	Loday, Jean-Louis 1946-2012
author_variant	j l l jll
building	Verbundindex
bvnumber	BV011434358
callnumber-first	Q - Science
callnumber-label	QA612
callnumber-raw	QA612.3
callnumber-search	QA612.3
callnumber-sort	QA 3612.3
callnumber-subject	QA - Mathematics
classification_rvk	SK 300 SK 320
ctrlnum	(OCoLC)37180282 (DE-599)BVBBV011434358
dewey-full	512/.55
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	512 - Algebra
dewey-raw	512/.55
dewey-search	512/.55
dewey-sort	3512 255
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	Second edition
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02192nam a2200541 cb4500</leader><controlfield tag="001">BV011434358</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220407 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">970708s1998 gw a\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">950487881</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540630740</subfield><subfield code="c">hardcover</subfield><subfield code="9">3-540-63074-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540630746</subfield><subfield code="c">hardcover</subfield><subfield code="9">978-3-540-63074-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642083167</subfield><subfield code="c">softcover</subfield><subfield code="9">978-3-642-08316-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)37180282</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011434358</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-20</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA612.3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.55</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 300</subfield><subfield code="0">(DE-625)143230:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 320</subfield><subfield code="0">(DE-625)143231:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Loday, Jean-Louis</subfield><subfield code="d">1946-2012</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)122970756</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Cyclic homology</subfield><subfield code="c">Jean-Louis Loday</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ; Heidelberg</subfield><subfield code="b">Springer</subfield><subfield code="c">[1998]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xviii, 513 Seiten</subfield><subfield code="b">Illustrationen, Diagramme</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Die Grundlehren der mathematischen Wissenschaften</subfield><subfield code="v">301</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverzeichnis: Seite 431 - 444</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Homologie</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Homology theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Homologietheorie</subfield><subfield code="0">(DE-588)4141714-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zyklische Homologie</subfield><subfield code="0">(DE-588)4269326-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Zyklische Homologie</subfield><subfield code="0">(DE-588)4269326-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Homologietheorie</subfield><subfield code="0">(DE-588)4141714-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-3-662-11389-9</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Die Grundlehren der mathematischen Wissenschaften</subfield><subfield code="v">301</subfield><subfield code="w">(DE-604)BV000000395</subfield><subfield code="9">301</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007689733&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007689733</subfield></datafield></record></collection>
id	DE-604.BV011434358
illustrated	Illustrated
indexdate	2024-12-20T10:12:23Z
institution	BVB
isbn	3540630740 9783540630746 9783642083167
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-007689733
oclc_num	37180282
open_access_boolean
owner	DE-703 DE-384 DE-355 DE-BY-UBR DE-706 DE-634 DE-83 DE-11 DE-188 DE-19 DE-BY-UBM DE-20
owner_facet	DE-703 DE-384 DE-355 DE-BY-UBR DE-706 DE-634 DE-83 DE-11 DE-188 DE-19 DE-BY-UBM DE-20
physical	xviii, 513 Seiten Illustrationen, Diagramme
publishDate	1998
publishDateSearch	1998
publishDateSort	1998
publisher	Springer
record_format	marc
series	Die Grundlehren der mathematischen Wissenschaften
series2	Die Grundlehren der mathematischen Wissenschaften
spellingShingle	Loday, Jean-Louis 1946-2012 Cyclic homology Die Grundlehren der mathematischen Wissenschaften Homologie ram Homology theory Homologietheorie (DE-588)4141714-8 gnd Zyklische Homologie (DE-588)4269326-3 gnd
subject_GND	(DE-588)4141714-8 (DE-588)4269326-3
title	Cyclic homology
title_auth	Cyclic homology
title_exact_search	Cyclic homology
title_full	Cyclic homology Jean-Louis Loday
title_fullStr	Cyclic homology Jean-Louis Loday
title_full_unstemmed	Cyclic homology Jean-Louis Loday
title_short	Cyclic homology
title_sort	cyclic homology
topic	Homologie ram Homology theory Homologietheorie (DE-588)4141714-8 gnd Zyklische Homologie (DE-588)4269326-3 gnd
topic_facet	Homologie Homology theory Homologietheorie Zyklische Homologie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007689733&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000000395
work_keys_str_mv	AT lodayjeanlouis cyclichomology

Availability

System Under Maintenance

Request for local pickup Request for local pickup Table of Contents

Available at UBR
Items can be borrowed from the UBR with a personal library card.