On the spatial theory of von Neumann algebras
β Scribed by A. Connes
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 626 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
Let (M, 1 ) be a Hopf von Neumann algebra. The operator predual M \* of M is a completely contractive Banach algebra with multiplication m=1 \* : M \* M \* Γ M \* . We call (M, 1 ) operator amenable if the completely contractive Banach algebra M \* is operator amenable, i.e., for every operator M \*
## Abstract In this paper, we consider a generalization of property T of Kazhdan for groups and property T of Connes for von Neumann algebras. We introduce another relative property T for groups corresponding to coβrigidity for von Neumann algebras, which is different from relative property T of Ma
The theory of non symmetric Dirichlet forms is generalized to the non abelian setting, also establishing the natural correspondences among Dirichlet forms, sub-Markovian semigroups and sub-Markovian resolvents within this context. Some results on the allowed functional calculus for closed derivation