Invariant states and ergodic dynamical systems on W*-algebras
1992 ◽
Vol 111
(1)
◽
pp. 181-192
◽
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AbstractAn 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.
Keyword(s):