A note on finite-dimensional quotients and the problem of automatic continuity for twisted convolution algebras
Year: 2025
Type: article
Abstract: In this note, we will show that the twisted convolution algebra \(L^{1}_{\alpha,\omega}(\mathbb{G},\mathcal{A})\) associated with a twisted action of a locally compact group \(\mathbb{G}\) on a \(C^{*}\)-algebra \(\mathcal{A}\) has the following property: Every quotient by a closed two-sided ideal of finite codimension produces a semisimple algebra. Afterward, we use this property, together with results by H. Dales and G. Willis, to extend previous results by the author and to produce large classes of examples of algebras with automatic continuity properties.
Source: Cubo
Author: Felipe I. Flores
Institution: University of Virginia
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: National Science Foundation
OpenAlex ID: W4415160926
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