Multiplicative *-Lie isomorphisms between factors

作者：Bai Zhaofang; Du Shuanping^*

来源：Journal of Mathematical Analysis and Applications, 2008, 346(1): 327-335.

DOI：10.1016/j.jmaa.2008.05.077

• *-Lie isomorphism
• factor

Let M, N be factors. If (Phi : M -> N is a multiplicative *-Lie isomorphism, then Phi is of the form sigma + tau, where sigma is a linear *-isomorphism, or a conjugate linear *-isomorphism, or the negative of a linear *-anti-isomorphism, or the negative of a conjugate linear *-anti-isomorphism of M onto N and tau is a mapping of M into CI = {lambda I vertical bar lambda is an element of C) which maps commutators into zero.

• 出版日期2008-10-1
• 单位厦门大学