Ergodic actions of compact groups on operator algebras. III. Classification for SU (2).
Antony Wassermann (1988)
Inventiones mathematicae
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Displaying similar documents to “Classification of C*-algebras admitting ergodic actions of the two-dimensional torus.”
Ergodic actions of compact groups on operator algebras. III. Classification for SU (2).
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Compact group extensions of 2-fold simple actions of locally compact second countable amenable groups are considered. It is shown what the elements of the centralizer of such a system look like. It is also proved that each factor of such a system is determined by a compact subgroup in the centralizer of a normal factor.
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We construct infinite measure preserving and nonsingular rank one -actions. The first example is ergodic infinite measure preserving but with nonergodic, infinite conservative index, basis transformations; in this case we exhibit sets of increasing finite and infinite measure which are properly exhaustive and weakly wandering. The next examples are staircase rank one infinite measure preserving -actions; for these we show that the individual basis transformations have conservative...