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Invariant states and ergodic dynamical systems on W*-algebras

Published online by Cambridge University Press:  24 October 2008

Andrzej uczak
Andrzej uczak
Affiliation:
Institute of Mathematics, d University, Banacha 22, 90-238 d, Poland
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Abstract

An amenable semigroup of positive linear unital mappings on a W*-algebra is considered. Two main questions are dealt with: the existence of a normal faithful state invariant with respect to this semigroup and the description of ergodicity conditions. An explicit form of the ergodic projection, useful in treating the ergodicity problems, is also derived.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 1 , January 1992 , pp. 181 - 192
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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