Geodesic
Dixmier Traces and Unitary Representations
Funkcionalʹnyj analiz i ego priloženiâ, Tome 35 (2001) no. 1, pp. 40-52

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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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     author = {R. S. Ismagilov},
     title = {Dixmier {Traces} and {Unitary} {Representations}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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R. S. Ismagilov. Dixmier Traces and Unitary Representations. Funkcionalʹnyj analiz i ego priloženiâ, Tome 35 (2001) no. 1, pp. 40-52. http://geodesic.mathdoc.fr/item/FAA_2001_35_1_a3/