Maps on C*-algebras Bi-skew Lie Derivable or Bi-skew Lie Triple Derivable at the Unit

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作者
Wang, Zhonghua [1 ]
机构
[1] School of Science, Xi’an Shiyou University, Xi’an,710065, China
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Algebra;
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摘要
Let B be a unital C*-algebra, A a unital subalgebra of B. We prove that a continuous map φ from A to B is a *-derivation if it is continuous and bi-skew Lie derivable or bi-skew Lie triple derivable at the unit. Moreover, we prove that every bi-skew Lie or bi-skew Lie triple homomorphism at the unit is a Jordan *-homomorphism. © 2024, International Association of Engineers. All rights reserved.
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页码:20 / 24
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