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The Quarterly Journal of Mathematics Advance Access published online on June 5, 2008
The Quarterly Journal of Mathematics, doi:10.1093/qmath/han006
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© 2008. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

THE GAP BETWEEN LOCAL MULTIPLIER ALGEBRAS OF C*-ALGEBRAS

Martín Argerami, Douglas Farenick{dagger} and Pedro Massey {ddagger}

Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan, S4S 0A2 Canada

{dagger} Corresponding author. E-mail: Doug.Farenick{at}uregina.ca

Received 23 March 2007; revised 2 April 2008
  Abstract

The local multiplier algebra Mloc(A) of a C*-algebra A has the property that Mloc (A) {subseteq} Mloc(Mloc(A)). In this paper we show that there is a separable liminal C*-algebra A such that the inclusion is proper.

{ddagger} Current address: Departamento de Matemática, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Argentina


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