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AF-embeddability of 2-graph algebras and quasidiagonality of k-graph algebras

Journal Article


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Abstract


  • We characterise quasidiagonality of the C*-algebra of a cofinal k-graph in terms of an algebraic condition involving the coordinate matrices of the graph. This result covers all simple k-graph C*-algebras. In the special case of cofinal 2-graphs we further prove that AF-embeddability, quasidiagonality and stable finiteness of the 2-graph algebra are all equivalent.

Authors


  •   Clark, Lisa Orloff (external author)
  •   An Huef, Astrid (external author)
  •   Sims, Aidan D.

Publication Date


  • 2016

Citation


  • Clark, L., an Huef, A. & Sims, A. (2016). AF-embeddability of 2-graph algebras and quasidiagonality of k-graph algebras. Journal of Functional Analysis, 271 (4), 958-991.

Scopus Eid


  • 2-s2.0-84971264885

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=6480&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5452

Number Of Pages


  • 33

Start Page


  • 958

End Page


  • 991

Volume


  • 271

Issue


  • 4

Abstract


  • We characterise quasidiagonality of the C*-algebra of a cofinal k-graph in terms of an algebraic condition involving the coordinate matrices of the graph. This result covers all simple k-graph C*-algebras. In the special case of cofinal 2-graphs we further prove that AF-embeddability, quasidiagonality and stable finiteness of the 2-graph algebra are all equivalent.

Authors


  •   Clark, Lisa Orloff (external author)
  •   An Huef, Astrid (external author)
  •   Sims, Aidan D.

Publication Date


  • 2016

Citation


  • Clark, L., an Huef, A. & Sims, A. (2016). AF-embeddability of 2-graph algebras and quasidiagonality of k-graph algebras. Journal of Functional Analysis, 271 (4), 958-991.

Scopus Eid


  • 2-s2.0-84971264885

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=6480&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/5452

Number Of Pages


  • 33

Start Page


  • 958

End Page


  • 991

Volume


  • 271

Issue


  • 4