Unitarily-invariant linear spaces in C*-algebras
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- by L. W. Marcoux and G. J. Murphy PDF
- Proc. Amer. Math. Soc. 126 (1998), 3597-3605 Request permission
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.References
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Additional Information
- L. W. Marcoux
- Affiliation: Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
- MR Author ID: 288388
- Email: l.marcoux@ualberta.ca
- G. J. Murphy
- Affiliation: Department of Mathematics, University College, Cork, Ireland
- Email: gjm@ucc.ie
- 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 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3597-3605
- MSC (1991): Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-98-04934-X
- MathSciNet review: 1610753