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Hochschild Cohomology of Von Neumann Algebras

Hochschild Cohomology of Von Neumann Algebras

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Product Details
Author:
A. Sinclair
Publisher:
Cambridge University Press
Publication Date:
Mar 09, 1995
Number of pages:
208 pages
Binding:
Paperback or Softback
ISBN-10:
0521478804
ISBN-13:
9780521478809

Overview

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.


  • | Author: A. Sinclair
  • | Publisher: Cambridge University Press
  • | Publication Date: Mar 09, 1995
  • | Number of Pages: 208 pages
  • | Binding: Paperback or Softback
  • | ISBN-10: 0521478804
  • | ISBN-13: 9780521478809

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