Low discrepancy sequences failing Poissonian pair correlations |
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Authors: | Vernica Becher Olivier Carton Ignacio Mollo Cunningham |
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Institution: | Verónica Becher,Olivier Carton,Ignacio Mollo Cunningham |
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Abstract: | Let G be a locally compact totally disconnected topological group. Under a necessary mild assumption, we show that the irreducible unitary representations of G are uniformly admissible if and only if the irreducible smooth representations of G are uniformly admissible. An analogous result for *-algebras is also established. We further show that the property of having uniformly admissible irreducible smooth representations is inherited by finite-index subgroups and overgroups of G. |
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