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Derivations on some (possibly non-separable) C*-algebras

Published online by Cambridge University Press:  18 May 2009

J. P. Sproston
Affiliation:
Department of Pure Mathematics, University of Hull, 22/24, Newland Park, Cottingham Road, Hull, HU5 2DW.
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In an important recent paper [4], G. A. Elliott has given a necessary and sufficient condition for every derivation on a separable C*-algebra with identity to be inner. Indeed, Elliott's condition has since been shown, by Akemann and Pedersen, to be equivalent to the C*-algebra being a finite direct sum of C*-algebras which are either homogeneous of finite degree or simple [8, Corollary 3.10].

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1981