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Paperback Hochschild Cohomology of Von Neumann Algebras Book

ISBN: 0521478804

ISBN13: 9780521478809

Hochschild Cohomology of Von Neumann Algebras (London Mathematical Society Lecture Note Series)

(Book #203 in the London Mathematical Society Lecture Note Series)

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Book 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.

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Math Mathematics Science & Math

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