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Hochschild Cohomology of Von Neumann Algebras by A. Sinclair, Roger R. Smith, Allan M. Sinclair

Hochschild Cohomology of Von Neumann Algebras

by A. Sinclair , Roger R. Smith , Allan M. Sinclair
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Book cover type: Paperback
  • ISBN13: 9780521478809
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 208
  • Original Price: USD 53.0
  • Language: English
  • Edition: N/A
  • Item Weight: 300 grams
  • BISAC Subject(s): Algebra / General

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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