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KMS states on the C*-algebras of finite graphs

Journal Article


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Abstract


  • We consider a finite directed graph E, and the gauge action on its Toeplitz-Cuntz-Krieger algebra, viewed as an action of R. For inverse temperatures larger than a critical value βc, we give an explicit construction of all the KMSβ states. If the graph is strongly connected, then there is a unique KMSβc state, and this state factors through the quotient map onto C*(E). Our approach is direct and relatively elementary.

UOW Authors


  •   An Huef, Astrid (external author)
  •   Laca, Marcelo (external author)
  •   Raeburn, Iain F. (external author)
  •   Sims, Aidan

Publication Date


  • 2013

Citation


  • An Huef, A., Laca, M., Raeburn, I. & Sims, A. (2013). KMS states on the C*-algebras of finite graphs. Journal of Mathematical Analysis and Applications, 405 (2), 388-399.

Scopus Eid


  • 2-s2.0-84878419412

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2164&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/1155

Has Global Citation Frequency


Number Of Pages


  • 11

Start Page


  • 388

End Page


  • 399

Volume


  • 405

Issue


  • 2

Place Of Publication


  • United States

Abstract


  • We consider a finite directed graph E, and the gauge action on its Toeplitz-Cuntz-Krieger algebra, viewed as an action of R. For inverse temperatures larger than a critical value βc, we give an explicit construction of all the KMSβ states. If the graph is strongly connected, then there is a unique KMSβc state, and this state factors through the quotient map onto C*(E). Our approach is direct and relatively elementary.

UOW Authors


  •   An Huef, Astrid (external author)
  •   Laca, Marcelo (external author)
  •   Raeburn, Iain F. (external author)
  •   Sims, Aidan

Publication Date


  • 2013

Citation


  • An Huef, A., Laca, M., Raeburn, I. & Sims, A. (2013). KMS states on the C*-algebras of finite graphs. Journal of Mathematical Analysis and Applications, 405 (2), 388-399.

Scopus Eid


  • 2-s2.0-84878419412

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2164&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/1155

Has Global Citation Frequency


Number Of Pages


  • 11

Start Page


  • 388

End Page


  • 399

Volume


  • 405

Issue


  • 2

Place Of Publication


  • United States