Geodesic
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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DOI

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 
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
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     title = {A descriptive view of unitary group representations},
     journal = {Journal of the European Mathematical Society},
     pages = {1761--1787},
     year = {2015},
     volume = {17},
     number = {7},
     doi = {10.4171/jems/544},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/544/}
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