Actions of discrete amenable groups on von neumann algebras
β Scribed by Adrian Ocneanu (auth.)
- Book ID
- 127399960
- Publisher
- Springer
- Year
- 1985
- Tongue
- English
- Weight
- 737 KB
- Edition
- 1
- Category
- Library
- City
- Berlin; New York
- ISBN
- 3540395792
No coin nor oath required. For personal study only.
β¦ Subjects
Analysis
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 \*
We extend a recent ergodic theorem of A. Nevo and E. Stein to the non-commutative case. Let \ be a faithful normal state on the von Neumann algebra A. Let [a i ] r i=1 generate F r , the free group on r generators, and let [: i ] r i=1 be V-automorphisms of A which leave \ invariant. Define , to be