IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Non-classification of free Araki-Woods factors and $\tau$-invariants
Autor/es:
ROMAN SASYK, ASGER TORNQUIST, STEFAAN VAES
Revista:
GROUPS GEOMETRY AND DYNAMICS
Editorial:
EUROPEAN MATHEMATICAL SOC
Referencias:
Lugar: Zürich; Año: 2019 vol. 13 p. 1219 - 1234
ISSN:
1661-7207
Resumen:
We define the standard Borel space of free Araki-Woods factors and prove that their isomorphism relation is not classifiable by countable structures. We also prove that equality of τ-topologies, arising as invariants of type III factors, as well as coycle and outer conjugacy of actions of abelian groups on free product factors are not classifiable by countable structures.
