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Local automorphisms
Authors:Randall Crist
Affiliation:Department of Mathematics, Creighton University, Omaha, Nebraska 68178
Abstract:We show that any linear map on a finite dimensional CSL algebra $mathcal{A}$ which at each point is equal to the value of some automorphism of $mathcal{A}$ is either an automorphism or can be factored as an automorphism and the transpose of a self-adjoint summand of $mathcal{A}$. New examples of local mappings are constructed.

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