Faithful representations of crossed products by endomorphisms

Authors:
Sarah Boyd, Navin Keswani and Iain Raeburn

Journal:
Proc. Amer. Math. Soc. **118** (1993), 427-436

MSC:
Primary 46L55

DOI:
https://doi.org/10.1090/S0002-9939-1993-1126190-X

MathSciNet review:
1126190

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Abstract | References | Similar Articles | Additional Information

Abstract: Stacey has recently characterised the crossed product of a -algebra by an endomorphism as a -algebra whose representations are given by covariant representations of the system . Following work of O'Donovan for automorphisms, we give conditions on a covariant representation of which ensure that the corresponding representation of is faithful. We then use this result to improve a theorem of Paschke on the simplicity of .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1993-1126190-X

Keywords:
-algebra,
endomorphism,
covariant representation,
crossed product,
simple -algebra

Article copyright:
© Copyright 1993
American Mathematical Society