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A COMPACTLY GENERATED GROUP WHOSE HECKE ALGEBRAS ADMIT NO BOUNDS ON THEIR REPRESENTATIONS

Published online by Cambridge University Press:  23 August 2006

UDO BAUMGARTNER ,
JACQUI RAMAGGE  and
GEORGE A. WILLIS
UDO BAUMGARTNER
Affiliation:
School of Mathematical and Physical Sciences, Building V, The University of Newcastle, Callaghan, NSW 2308, Australia e-mail: Udo.Baumgartner@newcastle.edu.au, Jacqui.Ramagge@newcastle.edu.au, George.Willis@newcastle.edu.au
JACQUI RAMAGGE
Affiliation:
School of Mathematical and Physical Sciences, Building V, The University of Newcastle, Callaghan, NSW 2308, Australia e-mail: Udo.Baumgartner@newcastle.edu.au, Jacqui.Ramagge@newcastle.edu.au, George.Willis@newcastle.edu.au
GEORGE A. WILLIS
Affiliation:
School of Mathematical and Physical Sciences, Building V, The University of Newcastle, Callaghan, NSW 2308, Australia e-mail: Udo.Baumgartner@newcastle.edu.au, Jacqui.Ramagge@newcastle.edu.au, George.Willis@newcastle.edu.au
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Abstract

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We construct a compactly generated, totally disconnected, locally compact group whose Hecke algebra with respect to any compact open subgroup does not have a $C^*$-enveloping algebra.

Keywords

20C08
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 48 , Issue 2 , May 2006 , pp. 193 - 201
Copyright
2006 Glasgow Mathematical Journal Trust