Stacey crossed products associated to Exel systems

Details Stacey crossed products associated to Exel systems Stacey crossed products associated to Exel systems

2011-11-02

arxiv.org/abs/1111.0381v1

Mathematics

Operator Algebras

Scientific paper

There are many different crossed products by an endomorphism of a C*-algebra, and constructions by Exel and Stacey have proved particularly useful. Here we show that every Exel crossed product is isomorphic to a Stacey crossed product, though by a different endomorphism of a different C*-algebra. We apply this result to a variety of Exel systems, including those associated to shifts on the path spaces of directed graphs.

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