A Morita equivalence for Hilbert C*-modules

Details A Morita equivalence for Hilbert C*-modules A Morita equivalence for Hilbert C*-modules

2012-03-20

arxiv.org/abs/1203.4425v1

Studia Math. 209 (2012), no. 1, 11-19

Mathematics

Operator Algebras

10 pages, to appear in Studia Math

Scientific paper

In this paper we introduce a notion of Morita equivalence for Hilbert C*-modules in terms of the Morita equivalence of the algebras of compact operators on Hilbert C*-modules. We investigate some properties of the new version of Morita equivalence and obtain some results. We then applied our results to study the continuous actions of locally compact groups on full Hilbert C*-modules. We present an extension of Green's theorem in the context of Hilbert C*-modules as well.

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