Bi-Skew Lie (Jordan) Product on Factor Von Neumann Algebras

Mohd Arif  Raza; Huda Eid  Almehmadi

doi:10.37256/cm.5420245028

Bi-Skew Lie (Jordan) Product on Factor Von Neumann Algebras

Authors

Mohd Arif Raza Department of Mathematics, College of Science & Arts-Rabigh, King Abdulaziz University, Jeddah, Saudi Arabia https://orcid.org/0000-0001-6799-8969
Huda Eid Almehmadi Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

DOI:

https://doi.org/10.37256/cm.5420245028

Keywords:

von Neumann algebra, bi-skew Lie (Jordan) product, ∗-isomorphism

Abstract

In this manuscript, we characterize the bijective mapping between two von Neumann algebras and with dim ⩾ 1. The mapping Λ is to satisfy the following condition on the mixed bi-skew Lie (Jordan) product , for all , where the bi-skew Lie (Jordan) product is defined as , and . Specifically, we elaborate on the properties of the mapping Λ, establishing that it is additive, a∗-somorphism, and linear.

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Published

2024-12-25

How to Cite

Raza MA, Almehmadi HE. Bi-Skew Lie (Jordan) Product on Factor Von Neumann Algebras. Contemp. Math. [Internet]. 2024 Dec. 25 [cited 2025 Jan. 21];5(4):6495-514. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5028

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Issue

Contemporary Mathematics, Volume 5 Issue 4 (2024)

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.