On action of diffeomorphisms of C*-algebras on derivations |
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Authors: | Edward Kissin |
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Institution: | Department of Computing, Communications Technology and Mathematics, London Metropolitan University, 166-220 Holloway Road, London N7 8DB, UK |
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Abstract: | In this paper we consider automorphisms of the domains of closed *-derivations of C*-algebras and show that they extend to automorphisms of C*-algebras, so we call them diffeomorphisms. The diffeomorphisms generate transformations of the sets of closed *-derivations of C*-algebras. In this paper we study the subgroups of diffeomorphisms that define “bounded” shifts of derivations and the subgroups of the stabilizers of derivations. |
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Keywords: | Derivations C*-algebras Automorphisms Diffeomorphisms |
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