The conjugacy relations on unitary representations

Greg Hjorth; Asger Dag Törnquist

The conjugacy relations on unitary representations

Institut for Matematiske Fag

3 Citationer (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.

Originalsprog	Engelsk
Tidsskrift	Mathematical Research Letters
Vol/bind	19
Udgave nummer	3
Sider (fra-til)	525-535
ISSN	1073-2780
Status	Udgivet - 2012

Citationsformater

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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

Fingeraftryk

Citationsformater