On purely infinite -algebras
Authors:
Ja A Jeong and Sa Ge Lee
Journal:
Proc. Amer. Math. Soc. 117 (1993), 679-682
MSC:
Primary 46L05
DOI:
https://doi.org/10.1090/S0002-9939-1993-1113642-1
MathSciNet review:
1113642
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Abstract | References | Similar Articles | Additional Information
Abstract: We find conditions under which a quotient -algebra
of a purely infinite
-algebra
becomes purely infinite. S. Zhang proved that if
is a
-unital, simple, purely infinite
-algebra, then a hereditary
-subalgebra
is a stable or unital for each
of
. We prove the converse for a completely
-unital infinite simple
-algebra.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1993-1113642-1
Keywords:
Purely infinite -algebras,
annihilators,
hereditary
-subalgebras
Article copyright:
© Copyright 1993
American Mathematical Society