Vol. 48, No. 1, 1973

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Ergodicity in von Neumann algebras

Charles Radin

Vol. 48 (1973), No. 1, 235–239
Abstract

We investigate the ergodicity of elements of a von Neumann algebra A under the action of an arbitrary cyclic group of inner -automorphisms of U. A simple corollary of our results is the following characterization: A von Neumann algebra A is finite if and only if for each A U and inner -automorphism α of A, there exists A A such that 1∕N n=0N1αn(A)−→A

N  → ∞

in the weak operator topology.

Mathematical Subject Classification 2000
Primary: 46L10
Milestones
Received: 6 June 1972
Published: 1 September 1973
Authors
Charles Radin