Hochschild cohomology of von Neumann algebras
by Allan M. Sinclair
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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 Hsuperscript n 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.
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Homology theory, Von Neumann algebrasShowing 3 featured editions. View all 3 editions?
| Edition | Availability |
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1
Hochschild Cohomology of Von Neumann Algebras
2011, Cambridge University Press
in English
0511893019 9780511893018
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2
Hochschild Cohomology of Von Neumann Algebras
2009, Cambridge University Press
in English
0511526199 9780511526190
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Hochschild cohomology of von Neumann algebras
1995, Cambridge University Press
in English
0521478804 9780521478809
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Edition Notes
Includes bibliographical references (p. [182]-191] and index.
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