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Constraints on utilitarian prescriptions for group actions

โœ Scribed by C. L. Sheng


Publisher
Springer US
Year
1987
Tongue
English
Weight
706 KB
Volume
23
Category
Article
ISSN
0040-5833

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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