Hochschild cohomology of von Neumann algebras:
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Bibliographische Detailangaben
1. Verfasser: Sinclair, Allan M. (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Cambridge Cambridge University Press 1995
Schriftenreihe:London Mathematical Society lecture note series 203
Schlagworte:
Online-Zugang:FAW01
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Volltext
Beschreibung:Includes bibliographical references (p. [182]-191] and index
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
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
Beschreibung:1 Online-Ressource (vii, 196 p.)
ISBN:0511526199
0521478804
1107362148
9780511526190
9780521478809
9781107362147

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