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Derivations of 2-subhomogeneous C*-algebras

Published online by Cambridge University Press:  20 January 2009

D. W. B. Somerset
D. W. B. Somerset
Affiliation:
Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3UE, UK (ds@maths.abdn.ac.uk)
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Abstract

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A characterization is given of those unital, 2-subhomogeneous, Fell C*-algebras which have only inner derivations. This proves Sproston and Strauss's conjecture from 1992. Various examples are given of phenomena which cannot occur for separable C*-algebras. In particular, an example is given of a C*-algebra with only inner derivations which has a quotient algebra admitting outer derivations. This answers a question of Akemann, Elliott, Pedersen and Tomiyama from 1976.

Keywords

C*-algebrasderivationssubhomogeneous
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 3 , October 2000 , pp. 449 - 456
Copyright
Copyright © Edinburgh Mathematical Society 2000

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