Simple corona -algebras
Author:
Huaxin Lin
Journal:
Proc. Amer. Math. Soc. 132 (2004), 3215-3224
MSC (2000):
Primary 46L05
DOI:
https://doi.org/10.1090/S0002-9939-04-07607-5
Published electronically:
June 16, 2004
MathSciNet review:
2073295
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: Let be a non-unital and
-unital simple
-algebra. We show that if
is simple, then
is purely infinite. We also show that
is simple if and only if
has a continuous scale provided that
is not isomorphic to
the compact operators.
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Additional Information
Huaxin Lin
Affiliation:
Department of Mathematics, East China Normal University, Shanghai, China
Address at time of publication:
Department of Mathematics, University of Oregon, Eugene, Oregon 97403-1222
DOI:
https://doi.org/10.1090/S0002-9939-04-07607-5
Keywords:
Simple $C^*$-algebras,
corona algebras
Received by editor(s):
February 1, 2003
Published electronically:
June 16, 2004
Additional Notes:
This research was partially supported by NSF grant DMS 0097003
Communicated by:
David R. Larson
Article copyright:
© Copyright 2004
American Mathematical Society