Morita equivalence in the context of Hilbert modules

2002/04/10 by Jan Paseka
Mathematics · #math.OA #msc:46M15 #msc:46L05 #msc:18D20 #msc:06F07

paper · pdf

published as Proceedings of the Ninth Prague Topological Symposium, (Prague, 2001), pp. 223--251, Topology Atlas, Toronto, 2002 · 29 pages

arxiv created 2002/04/10 · arxiv updated 2009/11/30

Abstract

The Morita equivalence of m-regular involutive quantales in the context of the theory of Hilbert A-modules is presented. The corresponding fundamental representation theorems are shown. We also prove that two commutative m-regular involutive quantales are Morita equivalent if and only if they are isomorphic

Related

• Induced representations of Hilbert C^*-modules
• Morita Equivalence for Quantales
• Morita theory for quantales
• Modules on involutive quantales: canonical Hilbert structure, applications to sheaf theory
• Induced representations of Hilbert modules over locally C*-algebras and the imprimitivity theorem