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arXiv · 1303.5346

Inverse-closed algebras of integral operators on locally compact groups

Ingrid Beltita·Daniel Beltita
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Abstract

We construct some inverse-closed algebras of bounded integral operators with operator-valued kernels, acting in spaces of vector-valued functions on locally compact groups. To this end we make systematic use of covariance algebras associated to $C^*$-dynamical systems defined by the abelian $C^*$-algebras of right uniformly continuous functions with respect to the left regular representation.

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Ingrid Beltita, Daniel Beltita. 2013-03-21. Inverse-closed algebras of integral operators on locally compact groups. https://arxiv.org/abs/1303.5346

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