*-Jordan-type maps on C*-algebras. Issue 12 (2nd December 2021)

• Record Type: Journal Article
• Authors: Macedo Ferreira, Bruno Leonardo; Costa, Bruno Tadeu
• Is Part Of: Communications in algebra. Volume 49:Issue 12(2021)
• Page Start: 5073
• Page End: 5082
• Publication Date: 2021-12-02
• Subjects: C*-algebra -- multiplicative Jordan maps -- multiplicative *-Jordan-type maps; 17D05 -- 46L05; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2021.1937636
• 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 * -Jordan-type maps. In particular, if M is a factor von Neumann algebra then every bijective unital multiplicative * -Jordan-type maps are * -ring isomorphisms.