Morita equivalence in the context of Hilbert modules

Mathematics – Operator Algebras

Scientific paper

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29 pages

Scientific paper

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

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