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Journal of Physics A Mathematical and General

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

Renzo Cirelli, P. Lanzavecchia, Alessandro Manià

Published Nov 11, 1983• 50 citations
Publisher

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.
DOI
10.1088/0305-4470/16/16/020

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