Representations of *-algebras by unbounded operators: C*-hulls, local-global principle, and induction
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Publication:6275592
DOI10.25537/DM.2017V22.1375-1466arXiv1607.04472MaRDI QIDQ6275592
Publication date: 15 July 2016
Abstract: We define a C*-hull for a *-algebra, given a notion of integrability for its representations on Hilbert modules. We establish a local-global principle which, in many cases, characterises integrable representations on Hilbert modules through the integrable representations on Hilbert spaces. The induction theorem constructs a C*-hull for a certain class of integrable representations of a graded *-algebra, given a C*-hull for its unit fibre.
Algebras of unbounded operators; partial algebras of operators (47L60) Noncommutative dynamical systems (46L55)
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