Fibre Bundles over Orbits of States
نویسندگان
چکیده
We review topologic properties of orbits of states of von Neumann algebras, starting with unitary orbits, and proceeding with more general sets of states, namely vector states with symbol a spheric vector in a Hilbert C∗module of the algebra. This is done by considering natural bundles over these sets, which enable one to relate their topologic properties to those of the unitary groups of von Neumann algebras related to the original algebra and the state involved. These views are applied to the topologic study of states, partial isometries and projections of the hyperfinite II1 factor.
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