Unitarily-invariant linear spaces in C*-algebras |
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| Authors: | L W Marcoux G J Murphy |
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| Institution: | Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1 ; Department of Mathematics, University College, Cork, Ireland |
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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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| Keywords: | Unitarily-invariant spaces simple C*-algebras |
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