Maps on the positive definite cone of a C*-algebra preserving certain quasi-entropies

Molnár, Lajos (2017) Maps on the positive definite cone of a C*-algebra preserving certain quasi-entropies. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 447 (1). pp. 206-221. ISSN 0022-247X

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Abstract

We describe the structure of those bijective maps on the cone of all positive invertible elements of a C*-algebra with a normalized faithful trace which preserve certain kinds of quasi-entropy. It is shown that essentially any such map is equal to a Jordan *-isomorphism of the underlying algebra multiplied by a central positive invertible element. (C) 2016 Elsevier Inc. All rights reserved.

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