Derivations of subhomogeneous -algebras are implemented by local multipliers

Author:
Ilja Gogić

Journal:
Proc. Amer. Math. Soc. **141** (2013), 3925-3928

MSC (2010):
Primary 46L57; Secondary 46L05

Published electronically:
July 23, 2013

MathSciNet review:
3091782

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be a subhomogeneous -algebra. Then contains an essential closed ideal with the property that for every derivation of there exists a multiplier such that and .

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Additional Information

**Ilja Gogić**

Affiliation:
Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia

Email:
ilja@math.hr

DOI:
https://doi.org/10.1090/S0002-9939-2013-11762-4

Keywords:
$C^*$-algebra,
derivation,
local multiplier algebra,
subhomogeneous

Received by editor(s):
January 18, 2012

Received by editor(s) in revised form:
January 24, 2012

Published electronically:
July 23, 2013

Communicated by:
Marius Junge

Article copyright:
© Copyright 2013
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.