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Partial automorphisms of stable C*-algebras and Hilbert C*-bimodules

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  09 April 2009

Kazunori Kodaka
Kazunori Kodaka
Affiliation:
Department of Mathematical Sciences, Faculty of Science, Ryukyu University Nishihara-cho, Okinawa 903-0213, Japan, e-mail: [email protected]
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Abstract

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Let A be a C*-algebra and K the C*-algebra of all compact operators on a countably infinite dimensional Hilbert space. In this note, we shall show that there is an isomorphism of a semigroup of equivalence classes of certain partial automorphisms of A ⊗ K onto a semigroup of equivalence classes of certain countably generated A-A-Hilbert bimodules.

MSC classification

Secondary: 46L08: $C^*$-modules 46L40: Automorphisms
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 79 , Issue 3 , December 2005 , pp. 391 - 398
Copyright
Copyright © Australian Mathematical Society 2005

References

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