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P. W. Ng and
Tracy Robin
Properly infinite corona algebras
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| Published: |
December 30, 2021. |
| Keywords: |
C*-algebras, corona algebras, properly infinite, extensions, Brown-Douglas-Fillmore. |
| Subject: |
46L05, 46L35, 46L85. |
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Abstract
We investigate conditions under which the corona algebra of a nonunital, simple C*-algebra is properly infinite.
Among other things, we prove that if B is a nonunital, separable, simple, Z-stable C*-algebra with Property I and
having an approximate unit consisting of projections, then C(B) is properly infinite if and only if T(B) is compact.
We also provide other characterizations.
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| Acknowledgements
N/A
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| Author information
P. W. Ng:
Department of Mathematics
University of Louisiana at Lafayette
P. O. Box 43568, Lafayette, LA 70504-3568, USA
png@louisiana.edu
Tracy Robin:
Department of Mathematics
Prairie View A&M University
P. O. Box 519 -- Mailstop 2225
Prairie View, TX 77446-0519, USA
tjrobin@pvamu.edu
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