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  • Cited by 39
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Kakariadis, Evgenios T. A. 2016. On Nica-Pimsner Algebras of C*-Dynamical Systems Over $\mathbb{Z}_+^n$. International Mathematics Research Notices, p. rnw050.


    KAKARIADIS, EVGENIOS T. A. and PETERS, JUSTIN R. 2016. ERGODIC EXTENSIONS OF ENDOMORPHISMS. Bulletin of the Australian Mathematical Society, Vol. 93, Issue. 02, p. 307.


    Kwaśniewski, B.K. 2016. Crossed products by endomorphisms of C0(X)-algebras. Journal of Functional Analysis, Vol. 270, Issue. 6, p. 2268.


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    Brownlowe, Nathan and Raeburn, Iain 2013. Two families of Exel–Larsen crossed products. Journal of Mathematical Analysis and Applications, Vol. 398, Issue. 1, p. 68.


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    Courtney, Dennis Muhly, Paul S. and Schmidt, Samuel W. 2012. Composition Operators and Endomorphisms. Complex Analysis and Operator Theory, Vol. 6, Issue. 1, p. 163.


    Davidson, K. R. and Kakariadis, E. T. A. 2012. Conjugate Dynamical Systems on C*-algebras. International Mathematics Research Notices,


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  • Ergodic Theory and Dynamical Systems, Volume 23, Issue 6
  • December 2003, pp. 1733-1750

A new look at the crossed-product of a C*-algebra by an endomorphism

  • RUY EXEL (a1)
  • DOI: http://dx.doi.org/10.1017/S0143385702001797
  • Published online: 01 December 2003
Abstract

We give a new definition for the crossed-product of a C*-algebra A by a *-endomorphism $\alpha$, which depends not only on the pair $(A,\alpha)$ but also on the choice of a transfer operator. 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 $\mathcal{O}_{\mathcal A}$ arises as the result of our construction when applied to the corresponding Markov subshift and a very natural transfer operator.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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