A descriptive view of unitary group representations
Journal of the European Mathematical Society, Tome 17 (2015) no. 7, pp. 1761-1787.

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In this paper, we will study the relative complexity of the unitary duals of countable groups. In particular, we will explain that if G and H are countable amenable non-type I groups, then the unitary duals of G and H are Borel isomorphic.
DOI : 10.4171/jems/544
Classification : 22-XX, 03-XX, 37-XX, 43-XX
Keywords: Unitary dual, Borel equivalence relation, amenable group
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     author = {Simon Thomas},
     title = {A descriptive view of unitary group representations},
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     pages = {1761--1787},
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Simon Thomas. A descriptive view of unitary group representations. Journal of the European Mathematical Society, Tome 17 (2015) no. 7, pp. 1761-1787. doi : 10.4171/jems/544. http://geodesic.mathdoc.fr/articles/10.4171/jems/544/

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