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Uniqueness of the trace and simplicity
Author(s):
Gerard
J.
Murphy
Journal:
Proc. Amer. Math. Soc.
128
(2000),
3563-3570.
MSC (2000):
Primary 46L05;
Secondary 46L55
Posted:
June 7, 2000
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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
DOI:
10.1090/S0002-9939-00-05605-7
PII:
S 0002-9939(00)05605-7
Keywords:
Faithful tracial state,
simple C*-algebra
Received by editor(s):
June 29, 1998
Received by editor(s) in revised form:
February 2, 1999
Posted:
June 7, 2000
Communicated by:
David R. Larson
Copyright of article:
Copyright
2000,
American Mathematical Society
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