Inner amenability and fullness

Author:
Marie Choda

Journal:
Proc. Amer. Math. Soc. **86** (1982), 663-666

MSC:
Primary 46L35

MathSciNet review:
674101

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a countable group which is not inner amenable. Then the II-factor is full in the following cases:

(1) is given by the group measure space construction from a triple with respect to a strongly ergodic measure preserving action of on a probability space .

(2) is the crossed product of a full II-factor by with respect to an action.

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DOI:
https://doi.org/10.1090/S0002-9939-1982-0674101-6

Keywords:
Factor,
group algebra,
crossed product,
ergodicity

Article copyright:
© Copyright 1982
American Mathematical Society