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Unitarily-invariant linear spaces in C*-algebras
Author(s):
L.
W.
Marcoux;
G.
J.
Murphy
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3597-3605.
MSC (1991):
Primary 46L05
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Abstract:
Characterisations and containment results are given for linear subspaces of a unital C*-algebra that are invariant under conjugation by sets of unitary elements of the algebra. The (unitarily-invariant) linear span of the projections in a simple, unital C*-algebra having non-scalar projections is shown to contain all additive commutators of the algebra and, in certain cases, to be equal to the algebra.
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Additional Information:
L.
W.
Marcoux
Affiliation:
Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Email:
l.marcoux@ualberta.ca
G.
J.
Murphy
Affiliation:
Department of Mathematics, University College, Cork, Ireland
Email:
gjm@ucc.ie
DOI:
10.1090/S0002-9939-98-04934-X
PII:
S 0002-9939(98)04934-X
Keywords:
Unitarily-invariant spaces,
simple C*-algebras
Received by editor(s):
April 16, 1997
Received by editor(s) in revised form:
April 21, 1997
Additional Notes:
The first author's research was supported in part by NSERC (Canada).
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1998,
American Mathematical Society
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