Geodesic
Derived Ring Isomorphisms of Von Neumann Algebras
Canadian journal of mathematics, Tome 25 (1973) no. 6, pp. 1254-1268

Voir la notice de l'article provenant de la source Cambridge University Press

Let M be an associative *-algebra with complex scalar field. M may be turned into a Lie algebra by defining multiplication by [A, B] = AB - BA. A Lie *-subalgebra L of M is a *-linear subspace of M such that if A, B ∈ L then [A,B] ∈ L. A Lie *-isomorphism φ between Lie *-subalgebras L1 and L2 of *-algebras M and N is a one-one, *-linear map of L1 onto L2 such that φ[A, B] = [φ(A), φ(B)] for all A , B ∈ L1. 
Miers, C. Robert. Derived Ring Isomorphisms of Von Neumann Algebras. Canadian journal of mathematics, Tome 25 (1973) no. 6, pp. 1254-1268. doi: 10.4153/CJM-1973-132-0
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