Hochschild cohomology of von Neumann algebras

Description

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.

Subjects

Series Statement

• London Mathematical Society lecture note series ;

Other Editions

• Hochschild cohomology of von Neumann algebrasCambridge University Press1995-01-01
• Hochschild Cohomology of Von Neumann AlgebrasCambridge University Press1995-01-01
• Hochschild Cohomology of Von Neumann AlgebrasCambridge University Press2009-01-01
• Hochschild Cohomology of Von Neumann AlgebrasCambridge University Press2011-01-01