Abstract and Applied Analysis

Characterizing ξ -Lie Multiplicative Isomorphisms on Von Neumann Algebras

Yamin Song, Jinchuan Hou, and Xiaofei Qi

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Abstract

Let and 𝒩 be von Neumann algebras without central summands of type I 1 . Assume that ξ with ξ 1 . In this paper, all maps Φ : 𝒩 satisfying Φ A B - ξ B A = Φ A Φ B - ξ Φ B Φ ( A ) are characterized.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 104272, 9 pages.

Dates
First available in Project Euclid: 26 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1395857996

Digital Object Identifier
doi:10.1155/2014/104272

Mathematical Reviews number (MathSciNet)
MR3166558

Zentralblatt MATH identifier
07021742

Citation

Song, Yamin; Hou, Jinchuan; Qi, Xiaofei. Characterizing $\xi $ -Lie Multiplicative Isomorphisms on Von Neumann Algebras. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 104272, 9 pages. doi:10.1155/2014/104272. https://projecteuclid.org/euclid.aaa/1395857996


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