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AuthorLoday, Jean-Louis. author
TitleCyclic Homology [electronic resource] / by Jean-Louis Loday
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992
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Descript XVII, 454 p. online resource


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


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

Mathematics K-theory Algebraic topology Mathematics Algebraic Topology K-Theory


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