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Hochschild Cohomology of Von Neumann Algebras

Hochschild Cohomology of Von Neumann Algebras

$43.99 (C)

Part of London Mathematical Society Lecture Note Series

  • Date Published: April 1995
  • availability: Available
  • format: Paperback
  • isbn: 9780521478809

$ 43.99 (C)
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About the Authors
  • The subject of this book is the continuous Hochschild cohomology of dual normal modules over a von Neumann algebra. The authors develop the necessary technical results, assuming a familiarity with basic C*-algebra and von Neumann algebra theory, including the decomposition into types, but no prior knowledge of cohomology theory is required and the theory of completely bounded and multilinear operators is given fully. Those cases when the continuous Hochschild cohomology Hn(M,M) of the von Neumann algebra M over itself is zero are central to this book. The material in this book lies in the area common to Banach algebras, operator algebras and homological algebra, and will be of interest to researchers from these fields.

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    Reviews & endorsements

    "The authors...have succeeded in providing a very attractive account which will encourage researchers and graduate students..." C.J.K. Batty, Mathematical Reviews

    "Because of its clear and efficient presentation of material from many directions of research, Hochschild cohomology of von Neumann algebras is recommended reading even for operator algebraists with only a casual interest in the cohomological side of their subject." William L. Paschke, The Bulletin of the American Mathematical Society

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    Product details

    • Date Published: April 1995
    • format: Paperback
    • isbn: 9780521478809
    • length: 208 pages
    • dimensions: 227 x 151 x 13 mm
    • weight: 0.302kg
    • contains: 200 b/w illus.
    • availability: Available
  • Table of Contents

    Preface
    1. Introduction
    2. Completely bounded operators
    3. Derivations
    4. Averaging in continuous and normal cohomology
    5. Completely bounded cohomology
    6. Hyperfinite subalgebras
    7. Continuous cohomology
    8. Stability of products
    9Appendix
    Bibliography
    Notation
    Index.

  • Authors

    Allan M. Sinclair, University of Edinburgh

    Roger R. Smith, Texas A & M University

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