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  • © 1998

Cyclic Homology

Authors:

  • Subject at the forefront of research
  • A very much needed book
  • Loday is well-known both as one of the leading researchers in the field and also as a very clear and precise expositor
  • A diversity of approaches
  • A comprehensive monograph from a unified point of view
  • There is no competitive work available

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

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-XIX
  2. Hochschild Homology

    • Jean-Louis Loday
    Pages 1-49
  3. Cyclic Homology of Algebras

    • Jean-Louis Loday
    Pages 51-88
  4. Smooth Algebras and Other Examples

    • Jean-Louis Loday
    Pages 89-114
  5. Operations on Hochschild and Cyclic Homology

    • Jean-Louis Loday
    Pages 115-155
  6. Variations on Cyclic Homology

    • Jean-Louis Loday
    Pages 157-199
  7. The Cyclic Category, Tor and Ext Interpretation

    • Jean-Louis Loday
    Pages 201-225
  8. Cyclic Spaces and S 1-Equivariant Homology

    • Jean-Louis Loday
    Pages 227-256
  9. Chern Character

    • Jean-Louis Loday
    Pages 257-280
  10. Classical Invariant Theory

    • Jean-Louis Loday
    Pages 281-298
  11. Homology of Lie Algebras of Matrices

    • Jean-Louis Loday
    Pages 299-340
  12. Algebraic K-Theory

    • Jean-Louis Loday
    Pages 341-380
  13. Non-commutative Differential Geometry

    • Jean-Louis Loday
    Pages 381-398
  14. Mac Lane (co)homology

    • Jean-Louis Loday, Teimuraz Pirashvili
    Pages 399-445
  15. Back Matter

    Pages 447-516

About this book

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.

Reviews

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 (in the last chapter) 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 co

Authors and Affiliations

  • Centre National de la Recherche Scientifique, Institut de Recherche Mathématique Avancée, 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/10.1007/978-3-662-11389-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Hardcover ISBN: 978-3-540-63074-6Published: 12 November 1997

  • Softcover ISBN: 978-3-642-08316-7Published: 01 December 2010

  • eBook ISBN: 978-3-662-11389-9Published: 09 March 2013

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 2

  • Number of Pages: XIX, 516

  • Topics: Algebraic Topology, K-Theory, Mathematics, general

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access