Inverse-closed algebras of integral operators on locally compact groups. (English) Zbl 1328.46056
Ann. Henri Poincaré 16, No. 5, 1283-1306 (2015); erratum ibid. 16, No. 5, 1307-1309 (2015).
Summary: 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 use of covariance algebras associated to \(C^\ast\)-dynamical systems defined by the \(C^\ast\)-algebras of right uniformly continuous functions with respect to the left regular representation.
MSC:
| 46L55 | Noncommutative dynamical systems |
| 47L80 | Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) |
Keywords:
inverse-closed algebras; bounded integral operators; covariance algebras; \(C^\ast\)-dynamical systemsReferences:
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