Normalizers inside Amalgamated Free Product von Neumann Algebras
Stefaan Vaes
Katholieke Universiteit Leuven, Belgium
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Abstract
Recently, Adrian Ioana proved that all crossed products by free ergodic probability measure preserving actions of a nontrivial free product group have a unique Cartan subalgebra up to unitary conjugacy. Ioana deduced this result from a more general dichotomy theorem on the normalizer of an amenable subalgebra of an amalgamated free product von Neumann algebra . We improve this dichotomy theorem by removing the spectral gap assumptions and obtain in particular a simpler proof for the uniqueness of the Cartan subalgebra in .
Cite this article
Stefaan Vaes, Normalizers inside Amalgamated Free Product von Neumann Algebras. Publ. Res. Inst. Math. Sci. 50 (2014), no. 4, pp. 695–721
DOI 10.4171/PRIMS/147