On weakly central C-algebras |
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Authors: | Bojan Magajna |
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Affiliation: | Department of Mathematics, University of Ljubljana, Jadranska 21, Ljubljana 1000, Slovenia |
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Abstract: | A unital C∗-algebra A is weakly central if and only if for every x∈A there exists a sequence of elementary unital completely positive maps αn on A such that the sequence (αn(x)) converges to a central element. |
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Keywords: | C&lowast -algebra Elementary operator Dixmier approximation theorem |
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