The exposed points of the set of invariant means

Author:
Tianxuan Miao

Journal:
Trans. Amer. Math. Soc. **347** (1995), 1401-1408

MSC:
Primary 43A07

MathSciNet review:
1260174

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a -compact infinite locally compact group, and let be the set of left invariant means on . We prove in this paper that if is amenable as a discrete group, then has no exposed points. We also give another proof of the Granirer theorem that the set of -invariant means on has no exposed points, where is an amenable countable group acting ergodically as measure-preserving transformations on a nonatomic probability space .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1995-1260174-2

Keywords:
Locally compact groups,
amenable groups,
invariant means,
the exposed points

Article copyright:
© Copyright 1995
American Mathematical Society