Cyclic Homology
2nd Edition
Published on 12. November 1997
Book
Hardback
XIX, 516 pages
978-3-540-63074-6 (ISBN)
Description
In this 2nd edition a new chapter 13 on MacLane (co)homology is added. It is compared with a variant of algebraic K-theory called stable K-theory. It turns out that these two theories are isomorphic. The main tool for this comparison is a third theory constructed from derived functors over the category of polynomial functors. This chapter is a transition from the content of the first 12 ch.
Reviews / Votes
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 coMore details
Series
Edition
Second Edition 1998
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Edition type
Revised edition
Illustrations
XIX, 516 p.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
2050 gr
ISBN-13
978-3-540-63074-6 (9783540630746)
DOI
10.1007/978-3-662-11389-9
Schweitzer Classification
Other editions
Additional editions
Previous edition
Content
1. Hochschild Homology.- 2. Cyclic Homology of Algebras.- 3. Smooth Algebras and Other Examples.- 4. Operations on Hochschild and Cyclic Homology.- 5. Variations on Cyclic Homology.- 6. The Cyclic Category, Tor and Ext Interpretation.- 7. Cyclic Spaces and Sl-Equivariant Homology.- 8. Chern Character.- 9. Classical Invariant Theory.- 10. Homology of Lie Algebras of Matrices.- 11. Algebraic K-Theory.- 12. Non-commutative Differential Geometry.- 13. Mac Lane (co)homology.- Appendices.- A. Hopf Algebras.- B. Simplicial.- C. Homology of Discrete Groups and Small Categories.- D. Spectral Sequences.- E. Smooth Algebras.- References.- References 1992-1996.- Symbols.