A Morita equivalence for Hilbert C*-modules
Operator Algebras
2012-04-24 v1 Functional Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.1203.4425,
title = {A Morita equivalence for Hilbert C*-modules},
author = {Maria Joita and Mohammad Sal Moslehian},
journal= {arXiv preprint arXiv:1203.4425},
year = {2012}
}
Comments
10 pages, to appear in Studia Math