This is a comprehensive study of cyclic homology theory. It opens with details of Hochschild and cyclic homology of associative algebras, their variations (periodic theory, dihedral theory) and the comparison with de Rham comology theory. The second part deals with cyclic sets, cyclic spaces, their
Cyclic Homology
โ Scribed by Jean-Louis Loday (auth.)
- Book ID
- 127435529
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 4 MB
- Edition
- 1
- Category
- Library
- City
- Berlin :, New York
- ISBN
- 0387533397
No coin nor oath required. For personal study only.
โฆ Synopsis
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 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 coming from algebraic topology. The bibliographic comments at the end of each chapter offer good suggestions for further reading and research. The book can be strongly recommended to anybody interested in noncommutative geometry, contemporary algebraic topology and related topics." European Mathematical Society Newsletter In this second edition the authors have added a chapter 13 on Mac Lane (co)homology.
โฆ Subjects
K-Theory
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