Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-15T05:49:06.378Z Has data issue: false hasContentIssue false
  • English
  • Français

A characterization of Morita equivalence pairs

Published online by Cambridge University Press:  26 February 2003

I. G. Todorov
I. G. Todorov
Affiliation:
Department of Mathematics, University of the Aegean, 83200 Karlovassi, Samos, Greece e-mail: ivan@aegean.gr
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We characterize the pairs of operator spaces that occur as pairs of Morita equivalence bimodules between non-selfadjoint operator algebras in terms of the mutual relation between the spaces. We obtain a characterization of the operator spaces which are completely isometrically isomorphic to imprimitivity bimodules between some strongly Morita equivalent (in the sense of Rieffel) C*-algebras. As corollaries, we give representation results for such operator spaces.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 44 , Issue 3 , September 2002 , pp. 535 - 545
Copyright
2002 Glasgow Mathematical Journal Trust