Crossed product by an arbitrary endomorphism

Mathematics – Operator Algebras

Scientific paper

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17 pages

Scientific paper

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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