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Hochschild Cohomology of Von Neumann Algebras : London Mathematical Society Lecture Note Series - No Information Available

Hochschild Cohomology of Von Neumann Algebras

By: No Information Available

Paperback | 8 May 1995

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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.
Industry Reviews
"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

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Non-FictionMathematicsAlgebraTopologyCalculus & Mathematical AnalysisFunctional Analysis & TransformsProbability & StatisticsDifferential Calculus & Equations

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