Abstract
We give a direct definition of Morita equivalence for Hilbert $C^{*}$ -modules, by introducing an explicit list of axioms for an imprimitivity bimodule. We show that Hilbert $C^{*}$-modules with unit vectors, over Morita equivalent unital $C^{*}$-algebras, are Morita equivalent, and Morita equivalence is an equivalence relation in the category of left Hilbert $C^{*} $-modules with unit vectors.
Citation
Massoud Amini. Mohammad B. Asadi. Maria Joiţa. Reza Rezavand. "Morita equivalence of Hilbert $C^{*}$-modules." Banach J. Math. Anal. 9 (1) 102 - 110, 2015. https://doi.org/10.15352/bjma/09-1-8
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