Unified approach to classification of actions of discrete amenable groups on injective factors

Details Unified approach to classification of actions of discrete amenable groups on injective factors Unified approach to classification of actions of discrete amenable groups on injective factors

2010-06-07

arxiv.org/abs/1006.1176v1

Mathematics

Operator Algebras

31 pages

Scientific paper

We present a simple unified proof of classification of discrete amenable
group actions on injective factors. Our argument does not depend on types of
factors. We also show the second cohomology vanishing theorem for arbitrary
cocycle crossed actions of discrete amenable groups on the injective factor of
type II$_1$.

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