Representations of *-algebras by unbounded operators: C*-hulls, local-global principle, and induction

Ralf Meyer

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arXiv · 1607.04472

Representations of -algebras by unbounded operators: C-hulls, local-global principle, and induction

Ralf Meyer

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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.

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Ralf Meyer. 2016-07-15. Representations of *-algebras by unbounded operators: C*-hulls, local-global principle, and induction. https://arxiv.org/abs/1607.04472

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