J4 ›› 2010, Vol. 45 ›› Issue (2): 58-60.
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Let M be a factor von Neumann algebra acting on a complex separable Hilbert space H with dim H>2. If [WTBX]:〖WTHT〗M→M be a Lie* derivation, then (A)=AT-TA+h(A) for all A∈M, where T∈M, h:M→CI is a linear mapping with h(AB*-B*A)=0 for all A,B∈M and T+T*=βI, β∈R.
Key words: Lie-* derivation; von Neumann algebra; commuting trace
ZHANG Fang-Juan, PANG Yong-Feng, ZHANG Jian-Hua, ZHU Xin-Hong, JI Guo-Xing. Lie-* derivations on factor von Neumann algebras[J].J4, 2010, 45(2): 58-60.
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http://lxbwk.njournal.sdu.edu.cn/EN/Y2010/V45/I2/58
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