Hochschild Cohomology of Von Neumann Algebras (Paperback) (ISBN-13: 9780521478809)

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.

Author: A. Sinclair,Roger R. Smith,Allan M. Sinclair
ISBN-10: 0521478804
ISBN-13: 9780521478809
Publisher: Cambridge University Press
Language: English
Published: 03/09/1995
Pages: 208
Format: Paperback
Weight: 0.66lbs
Size: 8.96h x 6.01w x 0.49d