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Cyclic Homology
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Catalogue Information
Field name
Details
Dewey Class
514.2
Title
Cyclic Homology ([EBook] /) / by Jean-Louis Loday.
Author
Loday, Jean-Louis
Other name(s)
SpringerLink (Online service)
Edition statement
Second Edition.
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1998.
Physical Details
XIX, 516 p. : online resource.
Series
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
0072-7830 ; ; 301
ISBN
9783662113899
Summary Note
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 MacLane (co)homology.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-662-11389-9
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Subject References:
Algebraic Topology
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K-Theory
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Mathematics
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Mathematics, general
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Authors:
Loday, Jean-Louis
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Corporate Authors:
SpringerLink (Online service)
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Series:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
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Classification:
514.2
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