Crossed product by an arbitrary endomorphism

Abstract

Starting from an arbitrary endomorphism δof 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,δ) but also on the choice of an ideal J orthogonal to Ker δ.

arXiv comment17 pages

Cited by in corpus (1)

• Crossed products by endomorphisms and reduction of relations in relative Cuntz-Pimsner algebras