Geodesic
Positive Linear Mappings Between C*-Algebras
Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 252-256

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DOI

We prove that a positive unital linear mapping from a von Neumann algebra to a unital C*-algebra is a Jordan homomorphism if it maps invertible selfadjoint elements to invertible elements, and that for any compact Hausdorff space X, all positive unital linear mappings from C(X) into a unital C*-algebra that preserve the invertibility for self-adjoint elements are *-homomorphisms if and only if X is totally disconnected.
DOI : 10.4153/CMB-1995-037-8
Mots-clés : 46L05, 46J10, C*-algebra, Jordan homomorphism, totally disconnected space 
Zhong, Yong. Positive Linear Mappings Between C*-Algebras. Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 252-256. doi: 10.4153/CMB-1995-037-8
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     author = {Zhong, Yong},
     title = {Positive {Linear} {Mappings} {Between} {C*-Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {252--256},
     year = {1995},
     volume = {38},
     number = {2},
     doi = {10.4153/CMB-1995-037-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-037-8/}
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