Uniqueness of the trace and simplicity

Authors
Murphy, GJ
Citation
Gj. Murphy, Uniqueness of the trace and simplicity, P AM MATH S, 128(12), 2000, pp. 3563-3570
Citations number
15
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
12
Year of publication
2000
Pages
3563 - 3570
Database
ISI
SICI code
0002-9939(2000)128:12<3563:UOTTAS>2.0.ZU;2-T
Abstract
It is proved that for certain large classes of unital C*-algebras, the exis tence of a unique, faithful tracial state implies simplicity. An example is given to show that this implication does not hold for all unital C*-algebr as.