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Cyclic Homology : Lecture Notes in Physics, - Jean-Louis Loday

Cyclic Homology

Lecture Notes in Physics,

Hardcover

Published: November 1997
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Introduction.- Notation and Terminology.- Hochschild Homology.- Cyclic Homology of Algebras.- Smooth Algebras and Other Examples.- Operations on Hochschild and Cyclic Homology.- Variations on Cyclic Homology.- The Cyclic Category, Tor and Ext Interpretation.- Cyclic Spaces and S1-Equivariant Homology.- Chern Character.- Classical Invariant Theory.- Homology of Lie Algebras of Matrices.- Algebraic K-Theory.- Non-Commutative Differential Geometry.- Appendices: Hopf Algebras.- Simplicial.- Homology of Discrete Groups and Small Categories.- Spectral Sequences.- Smooth Algebras.- References.- Symbols.- Index.- Mac Lane (co)homology

From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. Lie algebras and algebraic K-theory and (in the last chapter) an introduction to Connes'work and recent results on the Novikov conjecture. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics co

Introduction
Notation and Terminology
Hochschild Homologyp. 1
Cyclic Homology of Algebrasp. 51
Smooth Algebras and Other Examplesp. 89
Operations on Hochschild and Cyclic Homologyp. 115
Variations on Cyclic Homologyp. 157
The Cyclic Category, Tor and Ext Interpretationp. 201
Cyclic Spaces and S[superscript 1]-Equivariant Homologyp. 227
Chern Characterp. 257
Classical Invariant Theoryp. 281
Homology of Lie Algebras of Matricesp. 299
Algebraic K-Theoryp. 341
Non-commutative Differential Geometryp. 381
Mac Lane (co)homologyp. 399
Hopf Algebrasp. 447
Simplicialp. 453
Homology of Discrete Groups and Small Categoriesp. 461
Spectral Sequencesp. 469
Smooth Algebrasp. 473
Referencesp. 485
References 1992-1996p. 499
Symbolsp. 509
Indexp. 511
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540630746
ISBN-10: 3540630740
Series: Lecture Notes in Physics,
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 516
Published: November 1997
Publisher: SPRINGER VERLAG GMBH
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 3.02
Weight (kg): 0.93
Edition Number: 2
Edition Type: Revised