Hochschild cohomology of von Neumann algebras
Homology theory Von Neumann algebras e-böcker
Cambridge University Press
1995
EISBN 9780511526190
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.
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.
