Topology Atlas Document # ppae-23


Morita equivalence in the context of Hilbert modules

Jan Paseka

Proceedings of the Ninth Prague Topological Symposium (2001) pp. 223-251

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.

Mathematics Subject Classification. 46M15 46L05 18D20 06F07.
Keywords. Morita equivalence, quantale.

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Copyright © 2002 Charles University and Topology Atlas. Published April 2002.