By Jan Naudts

This paper introduces the notion of exponential arcs in Hilbert space and of exponential arcs connecting vector states on a sigma-finite von Neumann algebra in its standard representation. Results from Tomita-Takesaki theory form an essential ingredient. Starting point is a non-commutative Radon-Nikodym theorem that involves positive operators affiliated with the... Show more

January 19, 2021

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Exponential arcs in the manifold of vector states on a sigma-finite von Neumann algebra

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