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PURE STATES ON FREE GROUP C*-ALGEBRAS

Published online by Cambridge University Press:  04 December 2009

CHARLES AKEMANN ,
SIMON WASSERMANN  and
NIK WEAVER
CHARLES AKEMANN
Affiliation:
Department of Mathematics, University of California, Santa Barbara, CA 93106, USA e-mail: akemann@math.ucsb.edu
SIMON WASSERMANN
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, UK e-mail: asw@maths.gla.ac.uk
NIK WEAVER
Affiliation:
Department of Mathematics, Washington University in Saint Louis, Saint Louis, MO 63130, USA e-mail: nweaver@math.wustl.edu
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Abstract

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We prove that all the pure states of the reduced C*-algebra of a free group on an uncountable set of generators are *-automorphism equivalent and extract some consequences of this fact.

Keywords

46L05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 1 , January 2010 , pp. 151 - 154
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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