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

  title={A New Look at The Crossed-Product of a C *-algebra by an Endomorphism},
  author={Ruy Exel},
  • 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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Publications referenced by this paper.

The internal structure of simple C*-algebras

  • J. Cuntz
  • Operator algebras and applications, Proc. Symp…
  • 1982
Highly Influential
8 Excerpts

Shape theory for C∗-algebras

  • B. Blackadar
  • Math. Scand. 56
  • 1985
Highly Influential
3 Excerpts

Positive transfer operators and decay of correlations

  • V. Baladi
  • Advanced Series in Nonlinear Dynamics vol. 16…
  • 2000
1 Excerpt

A class of C*-algebras generalizing both Cuntz-Krieger algebras and crossed products by Z

  • M. V. Pimsner
  • Fields Inst. Commun. 12
  • 1997
2 Excerpts

The ideal structure of Cuntz-Krieger algebras

  • A. an Huef, I. Raeburn
  • Ergodic Theory Dyn. Syst
  • 1997
3 Excerpts

Elements of KK-Theory

  • K. Jensen, K. Thomsen
  • Birkhäuser
  • 1991

A groupoid approach to C∗-algebras

  • J. Renault
  • Lecture Notes in Mathematics vol. 793, Springer
  • 1980

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