A New Look at The Crossed-Product of a C *-algebra by an Endomorphism

@inproceedings{Exel2000ANL,
  title={A New Look at The Crossed-Product of a C *-algebra by an Endomorphism},
  author={Ruy Exel},
  year={2000}
}
  • Ruy Exel
  • Published 2000
We give a new definition for the crossed-product of a C∗-algebra A by a *-endomorphism α, which depends not only on the pair (A, α) but also on the choice of a transfer operator (see definition below). With this we generalize some of the earlier constructions in the situations in which they behave best (e.g. for monomorphisms with hereditary range), but we get a different and perhaps more natural outcome in other situations. For example, we show that the Cuntz–Krieger algebra OA arises as the… CONTINUE READING

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