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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Projections in some simple $ C\sp \ast$-crossed products


Authors: Ja A Jeong and Gie-Hyun Park
Journal: Proc. Amer. Math. Soc. 123 (1995), 3317-3321
MSC: Primary 46L05; Secondary 46L55
MathSciNet review: 1249884
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Abstract: Let $ \alpha $ be an outer action by a finite group G on a simple $ {C^ \ast }$-algebra A. If each hereditary $ {C^ \ast }$-subalgebra of A has an approximate identity consisting of projections, then every hereditary $ {C^ \ast }$-subalgebra of the crossed product $ A{ \times _\alpha }G$ has a projection.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1249884-6
PII: S 0002-9939(1995)1249884-6
Article copyright: © Copyright 1995 American Mathematical Society