In this paper, we will study the relative complexity of the unitary duals of countable groups. In particular, we will explain that if and are countable amenable non-type I groups, then the unitary duals of and are Borel isomorphic.
Cite this article
Simon Thomas, A descriptive view of unitary group representations. J. Eur. Math. Soc. 17 (2015), no. 7, pp. 1761–1787DOI 10.4171/JEMS/544