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|a Loday, Jean-Louis.
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|a Cyclic Homology
|h [electronic resource] /
|c by Jean-Louis Loday.
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|a 1st ed. 1992.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 1992.
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|a XVII, 454 p.
|b online resource.
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|a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
|x 0072-7830 ;
|v 301
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|a Springer eBook Collection
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|a 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 S1-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 -- Appendices -- A. Hopf Algebras -- B. Simplicial -- C. Homology of Discrete Groups and Small Categories -- D. Spectral Sequences -- E. Smooth Algebras (by Maria O. Ronco) -- References.
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|a This book is a comprehensive study of cyclic homology theory together with its relationship with Hochschild homology, de Rham cohomology, S1 equivariant homology, the Chern character, Lie algebra homology, algebraic K-theory and non-commutative differential geometry. Though conceived as a basic reference on the subject, many parts of this book are accessible to graduate students.
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|a Loaded electronically.
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|a Electronic access restricted to members of the Holy Cross Community.
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|a Algebraic topology.
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|a K-theory.
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