Uniqueness of the trace and simplicity
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- by Gerard J. Murphy PDF
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Abstract:
It is proved that for certain large classes of unital C*-algebras, the existence of a unique, faithful tracial state implies simplicity. An example is given to show that this implication does not hold for all unital C*-algebras.References
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Additional Information
- Gerard J. Murphy
- Affiliation: Department of Mathematics, University College, Cork, Ireland
- Email: gjm@ucc.ie
- Received by editor(s): June 29, 1998
- Received by editor(s) in revised form: February 2, 1999
- Published electronically: June 7, 2000
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 3563-3570
- MSC (2000): Primary 46L05; Secondary 46L55
- DOI: https://doi.org/10.1090/S0002-9939-00-05605-7
- MathSciNet review: 1707157