Nonlinear maps preserving the mixed triple products between factors
Received:March 18, 2021  Revised:October 06, 2021
Key Word: Maps preserving the mixed triple product   Isomorphism   Factors  
Fund ProjectL:National Natural Science Foundation of China(No. 11601420), Natural Science Foundation of Shaanxi Province of China (No. 2018JM1053)
Author NameAffiliationAddress
fangjuan zhang Xi’an University of Posts and Telecommunications School of Science, Xi’an University of Posts and Telecommunications
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Abstract:
      Let A and B be two factors with dimA > 4. In this paper, it is proved that a bijective map φ : A → B satisfies φ([A,B] ? C) = [φ(A),φ(B)] ? φ(C) for all A,B,C ∈ A if and only if φ is a linear ?-isomorphism, or a conjugate linear ?-isomorphism, or the negative of a linear ?-isomorphism, or the negative of a conjugate linear ?-isomorphism.
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