Skip to main content
×
Home
    • Aa
    • Aa
  • Access
  • Cited by 9
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Rainone, Timothy 2014. MF actions and K-theoretic dynamics. Journal of Functional Analysis, Vol. 267, Issue. 2, p. 542.


    Evans, D. Gwion and Sims, Aidan 2012. When is the Cuntz–Krieger algebra of a higher-rank graph approximately finite-dimensional?. Journal of Functional Analysis, Vol. 263, Issue. 1, p. 183.


    Brown, Nathanial P. 2004. Characterizing type I -algebras via entropy. Comptes Rendus Mathematique, Vol. 339, Issue. 12, p. 827.


    Matui, Hiroki 2002. AF Embeddability of Crossed Products of AT Algebras by the Integers and Its Application. Journal of Functional Analysis, Vol. 192, Issue. 2, p. 562.


    Brown, Nathanial P 1998. AF Embeddability of Crossed Products of AF Algebras by the Integers. Journal of Functional Analysis, Vol. 160, Issue. 1, p. 150.


    Bratteli, Ola Størmer, Erling Kishimoto, Akitaka and Rørdam, Mikael 1993. The crossed product of a UHF algebra by a shift. Ergodic Theory and Dynamical Systems, Vol. 13, Issue. 04,


    Voiculescu, Dan 1993. Around quasidiagonal operators. Integral Equations and Operator Theory, Vol. 17, Issue. 1, p. 137.


    Loring, Terry A. 1991. TheK-theory of AF embeddings of the rational rotation algebras. K-Theory, Vol. 4, Issue. 3, p. 227.


    Voiculescu, Dan 1990. On the existence of quasicentral approximate units relative to normed ideals. Part I. Journal of Functional Analysis, Vol. 91, Issue. 1, p. 1.


    ×
  • Ergodic Theory and Dynamical Systems, Volume 6, Issue 3
  • September 1986, pp. 475-484

Almost inductive limit automorphisms and embeddings into AF-algebras

  • Dan Voiculescu (a1)
  • DOI: http://dx.doi.org/10.1017/S0143385700003618
  • Published online: 01 September 2008
Abstract
Abstract

The crossed product of an AF-algebra by an automorphism, a power of which is approximately inner, is shown to be embeddable into an AF-algebra. The proof uses almost inductive limit automorphisms, i.e. automorphisms possessing a sequence of almost invariant finite-dimensional C*-subalgebras converging to the given AF-algebra.

    • Send article to Kindle

      To send this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Almost inductive limit automorphisms and embeddings into AF-algebras
      Your Kindle email address
      Available formats
      ×
      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about sending content to Dropbox.

      Almost inductive limit automorphisms and embeddings into AF-algebras
      Available formats
      ×
      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about sending content to Google Drive.

      Almost inductive limit automorphisms and embeddings into AF-algebras
      Available formats
      ×
Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[6]E. G. Effros & J. Rosenberg . C*-algebras with approximately inner flip. Pacific J. Math. 77 (1978), 417443.

[9]D. Handelman . Ultrasimplicial dimension groups. Archiv der Mathematik 40 (1983), 109115.

[10]R. H. Herman & V. F. R. Jones . Period two automorphisms of UHF C*-algebras. J. Fund. Anal. 45 (1982) 169176.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax