Inverse-closed algebras of integral operators on locally compact groups

preprint2014arXivOpen access

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∗C^*-dynamical systems defined by the abelian C∗C^*-algebras of right uniformly continuous functions with respect to the left regular representation.

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