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The Stone-Čech compactification of Prim A

Published online by Cambridge University Press:  17 April 2009

May Nilsen
May Nilsen
Affiliation:
Department of MathematicsThe University of NewcastleCallaghan NSW 2308Australia, e-mail: [email protected]
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Abstract

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For a C*-algebra A, we give simple proofs of the following: Cb (Prim A) is isomorphic to the centre ZM(A) of the multiplier algebra, Cb (Prim A) is isomorphic to C (Prim M(A)) and Prim ZM(A) is the Stone-Čech compactification of Prim A.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 52 , Issue 3 , December 1995 , pp. 377 - 383
Copyright
Copyright © Australian Mathematical Society 1995

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