Author | Loday, Jean-Louis. author |
---|---|

Title | Cyclic Homology [electronic resource] / by Jean-Louis Loday |

Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992 |

Connect to | http://dx.doi.org/10.1007/978-3-662-21739-9 |

Descript | XVII, 454 p. online resource |

SUMMARY

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

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 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