Research Catalog

Title

Hochschild cohomology of von Neumann algebras / Allan M. Sinclair, Roger R. Smith.

Author

Sinclair, Allan M.

Publication

Cambridge ; New York : Cambridge University Press, 1995.

Items in the Library & Off-site

Details

Additional Authors

Smith, Roger R.

Description

vii, 196 pages; 23 cm

Summary

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.

Series Statement

London Mathematical Society lecture note series ; 203

Uniform Title

London Mathematical Society lecture note series ; 203.

Subject

• Homology theory
• Von Neumann algebras
• Homologische algebra
• Von Neumann-algebra's
• Homologie
• Von Neumann, algèbres de

Bibliography (note)

• Includes bibliographical references (p. [182]-191) and index.

Contents

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.

ISBN

• 0521478804
• 9780521478809

LCCN

94038845

OCLC

• ocm31291284
• 31291284
• SCSB-9056369

Owning Institutions

Princeton University Library