Ergodic actions of compact groups on operator algebras. III. Classification for SU (2).
Antony Wassermann (1988)
Inventiones mathematicae
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Antony Wassermann (1988)
Inventiones mathematicae
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Sergio Alberverio, Raphael Hoegh-Krohn (1980)
Mathematische Zeitschrift
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Robert J. Zimmer (1977)
Inventiones mathematicae
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Robert J. Zimmer (1978)
Annales scientifiques de l'École Normale Supérieure
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Hawkins, Jane, Silva Cesar, E. (1998)
The New York Journal of Mathematics [electronic only]
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Artur Siemaszko (1994)
Studia Mathematica
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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.
U. Krengel, M.A. Akcoglu (1981)
Journal für die reine und angewandte Mathematik
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Eberhard Hopf (1960/61)
Journal für die reine und angewandte Mathematik
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D. de Schreye (1983)
Mathematica Scandinavica
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L. Varecza (1976)
Matematički Vesnik
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Raja, C.Robinson Edward (2009)
The New York Journal of Mathematics [electronic only]
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E. Muehlegger, A. Raich, C. Silva, M. Touloumtzis, B. Narasimhan, W. Zhao (1999)
Colloquium Mathematicae
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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...