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Book Cover
Author Sinclair, Allan M.

Title Hochschild cohomology of von Neumann algebras / by Allan M. Sinclair and Roger R. Smith.

Published Cambridge ; New York : Cambridge University Press, [1995]


Location Call No. Status
 UniM ERC  512.556 SINC    AVAILABLE
Physical description pages cm.
Series London Mathematical Society lecture note series ; 203.
London Mathematical Society lecture note series ; 203.
Bibliography Includes bibliographical references and index.
Contents 1. Completely Bounded Operators -- 2. Derivations -- 3. Averaging in Continuous and Normal Cohomology -- 4. Completely Bounded Cohomology -- 5. Hyperfinite Subalgebras -- 6. Continuous Cohomology -- 7. Stability of Products -- 8. Appendix.
Summary The continuous Hochschild cohomology of dual normal modules over a von Neumann algebra is the subject of this book. The necessary technical results are developed assuming a familiarity with basic C*-algebra and von Neumann algebra theory, including the decomposition into two types, but no prior knowledge of cohomology theory is required and the theory of completely bounded and multilinear operators is given fully. Central to this book are those cases when the continuous Hochschild cohomology H[superscript n](M,M) of the von Neumann algebra M over itself is zero. 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.
Other author Smith, Roger R.
Subject Homology theory.
Von Neumann algebras.
ISBN 0521478804 (paperback)