Journal of Noncommutative Geometry

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Volume 13, Issue 2, 2019, pp. 587–607
DOI: 10.4171/JNCG/332

Published online: 2019-07-17

A free product pair rigidity result in von Neumann algebras

Yoshimichi Ueda[1]

(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