Induced representations of Hilbert C^*-modules

2014/03/10 by Gh. Abbaspour Tabadkan, Tabadkan, Gh. Abbaspour, Sara Farhangi +2
Mathematics · #46L05 #46L08 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #math.OA #msc:46L05 #msc:46L08

paper · pdf · doi:10.48550/arxiv.1403.2256

7 pages

arxiv created 2014/03/10 · openalex publication_date 2014/03/10 · arxiv updated 2014/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we define the notion of induced representations of a Hilbert C^*-module and we show that Morita equivalence of two Hilbert modules (in the sense of Moslehian and Joita), implies the equivalence of categories of non-degenerate representations of two Hilbert modules.

Citations

• On Morita equivalence of nuclear C-

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