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arXiv · 2304.05725

Topological aspects of quasi *-algebras with sufficiently many *-representations

Giorgia Bellomonte·Camillo Trapani
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Abstract

Quasi *-algebras possessing a sufficient family $\mathcal{M}$ of invariant positive sesquilinear forms carry several topologies related to $\mathcal{M}$ which make every *-representation continuous. This leads to define the class of locally convex quasi GA*-algebras whose main feature consists in the fact that the family of their bounded elements, with respect to the family $\mathcal{M}$, is a dense C*-algebra.

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Giorgia Bellomonte, Camillo Trapani. 2023-04-12. Topological aspects of quasi *-algebras with sufficiently many *-representations. https://arxiv.org/abs/2304.05725

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