Simultaneous averaging to zero by unitary mixing operators
| Autor: | Leonel Robert, Abhinav Chand, Arindam Sutradhar |
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| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Applied Mathematics General Mathematics Mathematics - Operator Algebras Zero (complex analysis) Net (mathematics) Unitary state Linear subspace Simple (abstract algebra) FOS: Mathematics Element (category theory) Operator Algebras (math.OA) Mixing (physics) Subspace topology Mathematics |
| DOI: | 10.48550/arxiv.2012.02830 |
| Popis: | We show that if every element of a vector subspace of a C*-algebra can be averaged to zero by means of unitary mixing operators, then all the elements of the subspace can be simultaneously averaged to zero by a net of unitary mixing operators. Moreover, such subspaces admit a simple description in terms of commutators and kernels of states on the C*-algebra. We apply this result to center-valued expectations in C*-algebras with the Dixmier property. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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