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Cyclic Homology

  • Book
  • © 1992

Overview

Authors:
  1. Jean-Louis Loday

    1. Institut de Recherche Mathématique Avancée, Centre National de la Recherche Scientifique, Strasbourg, France

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 301)

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About this book

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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Table of contents (12 chapters)

  1. Front Matter

    Pages I-XVII
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  2. Hochschild Homology

    • Jean-Louis Loday
    Pages 1-49

  3. Cyclic Homology of Algebras

    • Jean-Louis Loday
    Pages 50-87

  4. Smooth Algebras and Other Examples

    • Jean-Louis Loday
    Pages 88-113

  5. Operations on Hochschild and Cyclic Homology

    • Jean-Louis Loday
    Pages 114-154

  6. Variations on Cyclic Homology

    • Jean-Louis Loday
    Pages 155-197

  7. The Cyclic Category, Tor and Ext Interpretation

    • Jean-Louis Loday
    Pages 198-222

  8. Cyclic Spaces and S 1-Equivariant Homology

    • Jean-Louis Loday
    Pages 223-252

  9. Chern Character

    • Jean-Louis Loday
    Pages 253-276

  10. Classical Invariant Theory

    • Jean-Louis Loday
    Pages 277-294

  11. Homology of Lie Algebras of Matrices

    • Jean-Louis Loday
    Pages 295-336

  12. Algebraic K-Theory

    • Jean-Louis Loday
    Pages 337-376

  13. Non-commutative Differential Geometry

    • Jean-Louis Loday
    Pages 377-394

  14. Back Matter

    Pages 395-454
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Authors and Affiliations

  • Institut de Recherche Mathématique Avancée, Centre National de la Recherche Scientifique, Strasbourg, France

    Jean-Louis Loday

Bibliographic Information

  • Book Title: Cyclic Homology

  • Authors: Jean-Louis Loday

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-662-21739-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • eBook ISBN: 978-3-662-21739-9Published: 29 June 2013

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: XVII, 454

  • Topics: Algebraic Topology, K-Theory

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