Glasgow Mathematical Journal



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


UDO BAUMGARTNER a1, JACQUI RAMAGGE a1 and GEORGE A. WILLIS a1
a1 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

Article author query
baumgartner u   [Google Scholar] 
ramagge j   [Google Scholar] 
willis ga   [Google Scholar] 
 

Abstract

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.

(Published Online August 23 2006)
(Received December 24 2004)
(Revised November 12 2005)
(Accepted November 25 2005)

Maths Classification

20C08.