Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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CHARACTERIZATION OF LIE TYPE DERIVATION ON VON NEUMANN ALGEBRA WITH LOCAL ACTIONS

  • Ashraf, Mohammad (Department of mathematics Aligarh Muslim University) ;
  • Jabeen, Aisha (Department of Applied Sciences & Humanities Jamia Millia Islamia)
  • Received : 2020.10.07
  • Accepted : 2021.04.06
  • Published : 2021.09.30
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Abstract

Let 𝓐 be a von Neumann algebra with no central summands of type I1. 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.

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Acknowledgement

The authors would like to thank the anonymous referee for his/her valuable comments and suggestions. The first author is partially supported by MATRICS research grant from DST(SERB)(MTR/2017/000033). Also, this work has been sponsored by Dr. D. S. Kothari Postdoctoral Fellowship (Award letter No. F.4-2/2006(BSR)/MA/18-19/0014) awarded to the second author under the University Grants Commission, Government of India, New Delhi.

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