Dixmier Traces and Unitary Representations |
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Authors: | R S Ismagilov |
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Institution: | (1) Baumann Moscow State Technical University, Russia |
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Abstract: | As is known, for any two given unitary representations of a topological group in Hilbert spaces, a new unitary representation in the corresponding space of Hilbert-Schmidt mappings can be defined. In the paper, a modification of this construction is suggested that uses the Dixmier trace (instead of the ordinary operator trace). The case of the group of second-order real unimodular matrices is studied in detail. |
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