Hyperfinite and II1 actions for nonamenable groups

S. I Bezuglyi; V. Ya Golodets

doi:10.1016/0022-1236(81)90070-7

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Hyperfinite and II1 actions for nonamenable groups

Journal article

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Peer reviewed

Hyperfinite and II1 actions for nonamenable groups

S. I Bezuglyi and V. Ya Golodets

Journal of Functional Analysis, Vol.40(1), pp.30-44

1981

DOI: 10.1016/0022-1236(81)90070-7

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Abstract

The actions of certain nonamenable groups on the Lebesgue space are studied. An example is constructed of a group which has a continuum of weakly nonequivalent actions of type II 1 . It is also proved that, if a free group with two generators has hyperfinite action on the Lebesgue space, then at least one generator acts dissipatively. A hyperfinite action is constructed for any nonamenable group.

Details

Title: Subtitle: Hyperfinite and II1 actions for nonamenable groups
Creators: S. I Bezuglyi
V. Ya Golodets
Resource Type: Journal article
Publication Details: Journal of Functional Analysis, Vol.40(1), pp.30-44
DOI: 10.1016/0022-1236(81)90070-7
ISSN: 1096-0783
eISSN: 1096-0783
Language: English
Date published: 1981
Academic Unit: Mathematics
Record Identifier: 9983985837202771

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