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Hochschild Cohomology of Von Neumann Algebras : London Mathematical Society Lecture Note Series - Allan M. Sinclair

Hochschild Cohomology of Von Neumann Algebras

London Mathematical Society Lecture Note Series

Paperback Published: 8th May 1995
ISBN: 9780521478809
Number Of Pages: 208

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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.

"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 '... a comprehensive and readable introduction to the field.' Monatshefte fur Mathematik

Preface
Introduction
Completely bounded operators
Derivations
Averaging in continuous and normal cohomology
Completely bounded
Hyperfinite subalgebras
Continuous cohomology
Stability of products
Appendix
Bibliography
Notation
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521478809
ISBN-10: 0521478804
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 208
Published: 8th May 1995
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.2
Weight (kg): 0.31