The crossed product of a -algebra by an endomorphism

Author:
William L. Paschke

Journal:
Proc. Amer. Math. Soc. **80** (1980), 113-118

MSC:
Primary 46L05; Secondary 46L55

MathSciNet review:
574518

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Abstract: Let *A* be a unital, strongly amenable -algebra, a -isomorphism (where *p* is a proper projection of *A*), and *S* an isometry such that for all *x* in *A*. If *A* has no nontrivial -invariant ideals, then is simple. Furthermore, is isomorphic to a corner of the crossed product of (compacts) by an automorphism.

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DOI:
https://doi.org/10.1090/S0002-9939-1980-0574518-2

Keywords:
-algebra,
crossed product,
simple

Article copyright:
© Copyright 1980
American Mathematical Society