*-Lie-type maps on C*-algebras. Issue 12 (2nd December 2022)

• Record Type: Journal Article
• Authors: Nascimento Ferreira, Ruth; Macedo Ferreira, Bruno Leonardo; Guzzo Junior, Henrique; Costa, Bruno Tadeu
• Is Part Of: Communications in algebra. Volume 50:Issue 12(2022)
• Page Start: 5145
• Page End: 5154
• Publication Date: 2022-12-02
• Subjects: C*-algebra -- factor von Neumann algebras -- *-isomorphism -- multiplicative *-Lie-type maps; 47B48 -- 46L05; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2022.2082459
• Languages: English
• ISSNs: 0092-7872

Abstract

Abstract: Let A and A ′ be two C * -algebras with identities I A and I A ′, respectively, and P 1 and P 2 = I A − P 1 nontrivial symmetric projections in A . In this paper, we study the characterization of multiplicative * -Lie-type maps. In particular, if M is a factor von Neumann algebra then every complex scalar multiplication bijective unital multiplicative * -Lie-type map is * -isomorphism.