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EQUIVARIANT COMPRESSION OF CERTAIN DIRECT LIMIT GROUPS AND AMALGAMATED FREE PRODUCTS

Part of: Special aspects of infinite or finite groups Locally compact groups and their algebras

Published online by Cambridge University Press:  10 June 2016

CHRIS CAVE  and
DENNIS DREESEN
CHRIS CAVE
Affiliation:
School of Mathematics, University of Southampton, Highfield, Southampton, SO17 1BJ, United Kingdom, e-mails: [email protected], [email protected]
DENNIS DREESEN
Affiliation:
School of Mathematics, University of Southampton, Highfield, Southampton, SO17 1BJ, United Kingdom, e-mails: [email protected], [email protected]
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Abstract

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We give a means of estimating the equivariant compression of a group G in terms of properties of open subgroups G i ⊂ G whose direct limit is G. Quantifying a result by Gal, we also study the behaviour of the equivariant compression under amalgamated free products G 1∗H G 2 where H is of finite index in both G 1 and G 2.

MSC classification

Primary: 20F65: Geometric group theory
Secondary: 22D10: Unitary representations of locally compact groups
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 58 , Issue 3 , September 2016 , pp. 739 - 752
Copyright
Copyright © Glasgow Mathematical Journal Trust 2016 

References

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