Journal of Noncommutative Geometry
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Published online: 2019-07-17
A free product pair rigidity result in von Neumann algebrasYoshimichi Ueda (1) Nagoya University, Japan
We prove that the free product pair of finitely many copies of the unique amenable type III$_1$ factor endowed with weakly mixing states remembers the number of free components and the given states.
Keywords: Free product, Type III$_1$ factor, intertwining technique, weakly mixing action, central sequence
Ueda Yoshimichi: A free product pair rigidity result in von Neumann algebras. J. Noncommut. Geom. 13 (2019), 587-607. doi: 10.4171/JNCG/332