Unitary representations of the groups of measurable and continuous functions with values in the circle |
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Authors: | Sławomir Solecki |
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Affiliation: | Department of Mathematics, 1409 W. Green St., University of Illinois, Urbana, IL 61801, USA |
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Abstract: | We give a classification of unitary representations of certain Polish, not necessarily locally compact, groups: the groups of all measurable functions with values in the circle and the groups of all continuous functions on compact, second countable, zero-dimensional spaces with values in the circle. In the proofs of our classification results, certain structure theorems and factorization theorems for linear operators are used. |
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Keywords: | 22A25 46A16 46E10 46E30 |
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