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arxiv: math/0703801 · v2 · submitted 2007-03-27 · 🧮 math.OA · math.FA

Crossed product by an arbitrary endomorphism

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keywords deltaarbitrarycrossedendomorphismproductalgebrachoiceconstruct
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Starting from an arbitrary endomorphism \delta of a unital C*-algebra A we construct a crossed product. It is shown that the natural construction depends not only on the C*-dynamical system (A,\delta) but also on the choice of an ideal J orthogonal to Ker \delta.

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