Derivations implemented by local multipliers
Author:
Martin Mathieu
Journal:
Proc. Amer. Math. Soc. 126 (1998), 11331138
MSC (1991):
Primary 46L57; Secondary 47B47, 16N60
MathSciNet review:
1452813
Fulltext PDF Free Access
Abstract 
References 
Similar Articles 
Additional Information
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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 P. Ara, On the symmetric algebra of quotients of a C*algebra, Glasgow Math. J. 32 (1990), 377379. MR 92g:46070
 [2]
 P. Ara and M. Mathieu, A local version of the DaunsHofmann theorem, Math. Z. 208 (1991), 349353. MR 93b:46109
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 S. Sakai, Derivations of W*algebras, Annals of Math. 83 (1966), 273279. MR 33:1748
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 S. Sakai, Derivations of simple C*algebras, II, Bull. Soc. Math. France 99 (1971), 259263. MR 45:2491
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 D. W. B. Somerset, The proximinality of the centre of a C*algebra, J. Approx. Theory 89 (1997),114117. CMP 97:10
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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:
http://dx.doi.org/10.1090/S0002993998043949
PII:
S 00029939(98)043949
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
Article copyright:
© Copyright 1998
American Mathematical Society
