Trivial K1-flow of AF algebras and finite von Neumann algebras
β Scribed by Shuang Zhang
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 875 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
We show the analogue for the entropy of automorphisms of finite von Neumann algebras of the classical formula H(T )=H( i=0 T &i P | i=1 T &i P), where T is a measure preserving transformation of a probability space, and P is a generator.
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 \*
We modify slightly Voiculescu's definition of approximation entropy of automorphisms of finite von Neumann algebras and compare it with the entropy of Connes and Sto% rmer. For this the notion of a generator is relevant, as its existence implies that the entropies coincide. Special emphasis is put o
## 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