On weak containment properties
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- by Harald Rindler PDF
- Proc. Amer. Math. Soc. 114 (1992), 561-563 Request permission
Abstract:
We prove, that two concepts of weak containment do not coincide, contradicting results in [1, Lemma 3.3 and Proposition 3.4]. The statement of Theorem 3.5 remains valid. There exist infinite tall compact groups $G$ (i.e. the set $\{ \sigma \in \hat G,\dim \sigma = n\}$ is finite for each positive integer $n$) having the mean-zero weak containment property. Such groups do not have the dual Bohr approximation property or $AP(\hat G) \ne C_\delta ^*(G)$.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 561-563
- MSC: Primary 22D10; Secondary 43A65
- DOI: https://doi.org/10.1090/S0002-9939-1992-1057960-3
- MathSciNet review: 1057960