Vol. 107, No. 1, 1983

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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
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
Authors
Fumio Hiai
Masanori Ohya
Makoto Tsukada