Induced representations of Hilbert modules over locally C*-algebras and the imprimitivity theorem
Abstract
We study induced representations of Hilbert modules over locally C*-algebras and their non-degeneracy. We show that if $V$ and $W$ are Morita equivalent Hilbert modules over locally C*-algebras $A$ and $B$, respectively, then there exists a bijective correspondence between equivalence classes of non-degenerate representations of $V$ and $W$.
Keywords
Hilbert modules; locally C*-algebras; module maps; Morita equivalence; induced representations.
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PDFISSN: 1331-0623 (Print), 1848-8013 (Online)