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Derivations implemented by local multipliers

Author(s): Martin Mathieu
Journal: Proc. Amer. Math. Soc. 126 (1998), 1133-1138.
MSC (1991): Primary 46L57; Secondary 47B47, 16N60
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Abstract: A condition on a derivation of an arbitrary C*-algebra is presented entailing that it is implemented as an inner derivation by a local multiplier.

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Additional Information:

Martin Mathieu
Affiliation: The Fields Institute for Research in Mathematical Sciences, Waterloo, Ontario, Canada
Address at time of publication: Department of Mathematics, St. Patrick's College, Maynooth, Co. Kildare, Ireland
Email: mm@maths.may.ie

DOI: 10.1090/S0002-9939-98-04394-9
PII: S 0002-9939(98)04394-9
Keywords: $C^*$-algebras, derivations, local multipliers
Received by editor(s): September 23, 1996
Additional Notes: This work was done while the author was a Visiting Fellow at The Fields Institute for Research in Mathematical Sciences, Waterloo, Ontario, Canada, supported by the Deutsche Forschungsgemeinschaft (DFG), to both of which he is very grateful
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1998, American Mathematical Society

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