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A direct approach to co-universal algebras associated to directed graphs

Journal Article


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Abstract


  • We prove directly that if $E$ is a directed graph in which every cycle has an entrance, then there exists a $C^*$-algebra which is co-universal for Toeplitz-Cuntz-Krieger $E$-families. In particular, our proof does not invoke ideal-structure theory for graph algebras, nor does it involve use of the gauge action or its fixed point algebra.

UOW Authors


  •   Sims, Aidan
  •   Webster, Samuel B. (external author)

Publication Date


  • 2010

Citation


  • Sims, A. & Webster, S. (2010). A direct approach to co-universal algebras associated to directed graphs. Bulletin of the Malaysian Mathematical Sciences Society, 33 (2), 211-220.

Scopus Eid


  • 2-s2.0-77953066323

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=1835&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/822

Number Of Pages


  • 9

Start Page


  • 211

End Page


  • 220

Volume


  • 33

Issue


  • 2

Abstract


  • We prove directly that if $E$ is a directed graph in which every cycle has an entrance, then there exists a $C^*$-algebra which is co-universal for Toeplitz-Cuntz-Krieger $E$-families. In particular, our proof does not invoke ideal-structure theory for graph algebras, nor does it involve use of the gauge action or its fixed point algebra.

UOW Authors


  •   Sims, Aidan
  •   Webster, Samuel B. (external author)

Publication Date


  • 2010

Citation


  • Sims, A. & Webster, S. (2010). A direct approach to co-universal algebras associated to directed graphs. Bulletin of the Malaysian Mathematical Sciences Society, 33 (2), 211-220.

Scopus Eid


  • 2-s2.0-77953066323

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=1835&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/822

Number Of Pages


  • 9

Start Page


  • 211

End Page


  • 220

Volume


  • 33

Issue


  • 2