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Unitarization of uniformly bounded subgroups in finite von Neumann algebras
Published 28 Feb 2013 in math.OA and math.MG | (1302.7303v1)
Abstract: This note will present a new proof of the fact that every uniformly bounded group of invertible elements in a finite von Neumann algebra is similar to a unitary group. The proof involves metric geometric arguments in the non-positively curved space of positive invertible operators of the algebra; in 1974 Vasilescu and Zsido proved this result using the Ryll-Nardzewsky fixed point theorem.
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