Noncommutative recurrence over locally compact Hausdorff groups |
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Authors: | Richard de Beer,Anton Strö h |
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Affiliation: | Department of Mathematics and Applied Mathematics, University of Pretoria, 0002 Pretoria, South Africa |
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Abstract: | We extend previous results on noncommutative recurrence in unital *-algebras over the integers to the case where one works over locally compact Hausdorff groups. We derive a generalization of Khintchine's recurrence theorem, as well as a form of multiple recurrence. This is done using the mean ergodic theorem in Hilbert space, via the GNS construction. |
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Keywords: | Recurrence Unital &lowast -algebras Locally compact Hausdorff groups |
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