Invariant Means on a Class of von Neumann Algebras Related to Ultraspherical Hypergroups II
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Bibliographic record
Abstract
Abstract Let K be an ultraspherical hypergroup associated with a locally compact group G and a spherical projector π and let VN( K ) denote the dual of the Fourier algebra A ( K ) corresponding to K . In this note, we show that the set of invariant means on VN( K ) is singleton if and only if K is discrete. Here K need not be second countable. We also study invariant means on the dual of the Fourier algebra A 0 ( K ), the closure of A ( K ) in the cb-multiplier norm. Finally, we consider generalized translations and generalized invariant means.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.007 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.019 | 0.010 |
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