Sufficiency and relative entropy in ∗-algebras with applications in quantum systems

Fumio Hiai, Masanori Ohya and Makoto Tsukada

Vol. 107 (1983), No. 1, 117–140

DOI: 10.2140/pjm.1983.107.117

Abstract

The sufficiency and weak sufficiency in ∗-algebras are discussed. Some properties are studied concerning the relative entropy and the sufficiency for invariant states and KMS states in W^∗- and C^∗-dynamical systems.

Mathematical Subject Classification 2000

Primary: 46L05

Secondary: 82A15

Milestones

Received: 6 July 1981

Revised: 11 November 1981

Published: 1 July 1983