Concrete classification and centralizers of certain Z2⋊SL(2,Z)-actions
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概要
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We introduce a new class of actions of the group Z2⋊SL(2,Z) on finite von Neumann algebras and call them twisted Bernoulli shift actions. We classify these actions up to conjugacy and give an explicit description of their centralizers. We also distinguish many of those actions on the AFD II1 factor in view of outer conjugacy.