ADDITIVITY OF MAPS PRESERVING PRODUCTS AP +/- PA* ON C*-ALGEBRAS

作者：Taghavi Ali^*; Darvish Vahid; Rohi Hamid

来源：Mathematica Slovaca, 2017, 67(1): 213-220.

DOI：10.1515/ms-2016-0260

• new product
• additive
• prime C*-algebras

Let A and B be two prime C*-algebras. In this paper, we investigate the additivity of map Phi from A onto B that are bijective unital and satisfies Phi(AP + lambda PA*) = Phi(A)Phi(P) lambda Phi(P)Phi(A)*, for all A is an element of A and P is an element of {P-1, I-A - P-1} where P-1 is a nontrivial projection in A and lambda is an element of {-1, +1}. Then, Phi is *-additive.

• 出版日期2017-3