Skip to main content

Strong shift equivalence of C*correspondences

Journal Article


Download full-text (Open Access)

Abstract


  • We define a notion of strong shift equivalence for $C^*$-correspondences and show that strong shift equivalent $C^*$-correspondences have strongly Morita equivalent Cuntz-Pimsner algebras. Our analysis extends the fact that strong shift equivalent square matrices with non-negative integer entries give stably isomorphic Cuntz-Krieger algebras.

Authors


  •   Muhly, Paul (external author)
  •   Pask, David A.
  •   Tomforde, Mark (external author)

Publication Date


  • 2008

Citation


  • Muhly, P. S., Pask, D. A. & Tomforde, M. (2008). Strong shift equivalence of C*correspondences. Israel Journal of Mathematics, 167 315-346.

Scopus Eid


  • 2-s2.0-57849084071

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=10510&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/3174

Number Of Pages


  • 31

Start Page


  • 315

End Page


  • 346

Volume


  • 167

Abstract


  • We define a notion of strong shift equivalence for $C^*$-correspondences and show that strong shift equivalent $C^*$-correspondences have strongly Morita equivalent Cuntz-Pimsner algebras. Our analysis extends the fact that strong shift equivalent square matrices with non-negative integer entries give stably isomorphic Cuntz-Krieger algebras.

Authors


  •   Muhly, Paul (external author)
  •   Pask, David A.
  •   Tomforde, Mark (external author)

Publication Date


  • 2008

Citation


  • Muhly, P. S., Pask, D. A. & Tomforde, M. (2008). Strong shift equivalence of C*correspondences. Israel Journal of Mathematics, 167 315-346.

Scopus Eid


  • 2-s2.0-57849084071

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=10510&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/3174

Number Of Pages


  • 31

Start Page


  • 315

End Page


  • 346

Volume


  • 167