Normal pure states of the von Neumann algebra of bounded operators as Kahler manifold

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, , Citation R Cirelli et al 1983 J. Phys. A: Math. Gen. 16 3829 DOI 10.1088/0305-4470/16/16/020

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1 Dipartimento di Fisica, Univ. Milano, Milano, Italy

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Abstract

The projective space of a complex Hilbert space H is considered both as a Kahler manifold and as the set of pure states of the von Neumann algebra B(H). A link is given between these two structures. Special attention is devoted to topology, orientation and automorphisms of the structures and Wigner's theorem.

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