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Ergodic Actions of Universal Quantum Groups on Operator Algebras

✍ Scribed by Shuzhou Wang


Publisher
Springer
Year
1999
Tongue
English
Weight
119 KB
Volume
203
Category
Article
ISSN
0010-3616

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Ergodic Theorems for Free Group Actions
✍ Trent E. Walker πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 344 KB

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