The conjugacy relations on unitary representations

Greg Hjorth; Asger Dag Törnquist

The conjugacy relations on unitary representations

Department of Mathematical Sciences

3 Citations (Scopus)

Abstract

In a 1965 paper, E.G. Effros asked the question if the conjugacy relation for unitary representations of a locally compact second countable group is a Borel equivalence relation. In this paper, we answer this question affirmatively. This also settles a recent question raised by A.S. Kechris regarding the hierarchy complexity of unitary equivalence of probability measure preserving actions of countable discrete groups.

Original language	English
Journal	Mathematical Research Letters
Volume	19
Issue number	3
Pages (from-to)	525-535
ISSN	1073-2780
Publication status	Published - 2012

Cite this

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AB - In a 1965 paper, E.G. Effros asked the question if the conjugacy relation for unitary representations of a locally compact second countable group is a Borel equivalence relation. In this paper, we answer this question affirmatively. This also settles a recent question raised by A.S. Kechris regarding the hierarchy complexity of unitary equivalence of probability measure preserving actions of countable discrete groups.

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VL - 19

SP - 525

EP - 535

JO - Mathematical Research Letters

JF - Mathematical Research Letters

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The conjugacy relations on unitary representations

Abstract

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