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Operator Ergodic Theorems for Actions of Free Semigroups and Groups

โœ Scribed by A. I. Bufetov


Book ID
111532189
Publisher
Springer US
Year
2000
Tongue
English
Weight
198 KB
Volume
34
Category
Article
ISSN
0016-2663

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๐Ÿ“œ SIMILAR VOLUMES


Ergodic Theorems for Free Group Actions
โœ Trent E. Walker ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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