A descriptive view of unitary group representations

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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.

Original languageEnglish (US)
Pages (from-to)1761-1787
Number of pages27
JournalJournal of the European Mathematical Society
Issue number7
StatePublished - 2015

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Mathematics(all)


  • Amenable group
  • Borel equivalence relation
  • Unitary dual


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