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On Markov operators and ergodic theorems for group actions

✍ Scribed by Alexander Bufetov; Alexey Klimenko


Book ID
113582484
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
288 KB
Volume
33
Category
Article
ISSN
0195-6698

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πŸ“œ SIMILAR VOLUMES


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