A descriptive view of unitary group representations

Simon Thomas

Journal of the European Mathematical Society (2015)

  • Volume: 017, Issue: 7, page 1761-1787
  • ISSN: 1435-9855

Abstract

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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.

How to cite

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Thomas, Simon. "A descriptive view of unitary group representations." Journal of the European Mathematical Society 017.7 (2015): 1761-1787. <http://eudml.org/doc/277615>.

@article{Thomas2015,
abstract = {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.},
author = {Thomas, Simon},
journal = {Journal of the European Mathematical Society},
keywords = {unitary dual; Borel equivalence relation; amenable group; representation; unitary dual; Borel equivalence relation; amenable group},
language = {eng},
number = {7},
pages = {1761-1787},
publisher = {European Mathematical Society Publishing House},
title = {A descriptive view of unitary group representations},
url = {http://eudml.org/doc/277615},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Thomas, Simon
TI - A descriptive view of unitary group representations
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 7
SP - 1761
EP - 1787
AB - 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.
LA - eng
KW - unitary dual; Borel equivalence relation; amenable group; representation; unitary dual; Borel equivalence relation; amenable group
UR - http://eudml.org/doc/277615
ER -

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