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Characterization of Lie type derivation on von Neumann algebra with local actions

Mohammad Ashraf|Aisha Jabeen
대한수학회 (The Korean Mathematical Society)|2021.09|대한수학회보 (Bulletin of the KMS)|제58권 제5호|pp. 1193-1208|DOI 10.4134/BKMS.b200850

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참고문헌

키워드

Derivationvon Neumann algebracommutatorLie type derivation
주제분류수학

초록

Let $\mathcal{A}$ be a von Neumann algebra with no central summands of type $I_1.$ In this article, we study Lie ${n}$-derivation on von Neumann algebra and prove that every additive Lie ${n}$-derivation on a von Neumann algebra has standard form at zero product as well as at projection product.

Abstract

Let $\mathcal{A}$ be a von Neumann algebra with no central summands of type $I_1.$ In this article, we study Lie ${n}$-derivation on von Neumann algebra and prove that every additive Lie ${n}$-derivation on a von Neumann algebra has standard form at zero product as well as at projection product.

참고문헌 (16)

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