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Self-adjoint linear maps on \(C^*\)-algebra - MaRDI portal

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Self-adjoint linear maps on \(C^*\)-algebra (Q2073519)

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scientific article; zbMATH DE number 7468408
Language Label Description Also known as
English
Self-adjoint linear maps on \(C^*\)-algebra
scientific article; zbMATH DE number 7468408

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    Self-adjoint linear maps on \(C^*\)-algebra (English)
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    2 February 2022
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    Summary: Let \(A\) and \(B\) be two unital \(C^*\)-algebra and let \(\varphi\): \(A\rightarrow B\) be a unital self-adjoint linear map that preserves invertibility and locally preserves commutativity, then \(\varphi\) is a continuous Jordan homomorphism.
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    self-adjoint
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    Jordan homomorphism
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    locally commutativity preserving
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