Fullness and Connes' \(\tau\) invariant of type III tensor product factors

DOI10.1016/j.matpur.2018.06.018zbMath1417.46042arXiv1611.07914OpenAlexW2811316285MaRDI QIDQ1633074

Amine Marrakchi, Cyril Houdayer, Peter Verraedt

Publication date: 19 December 2018

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.07914

zbMATH Keywords

spectral gaptype III factorsultraproduct von Neumann algebrasfull factorsMcDuff factorsPopa's deformation/rigidity theory

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Tensor products of (C^*)-algebras (46L06) Automorphisms of selfadjoint operator algebras (46L40) Classification of factors (46L36)

Related Items

Existentially closed \(\mathrm{W}^*\)-probability spaces, Full factors and co-amenable inclusions, Spectral gap and strict outerness for actions of locally compact groups on full factors, Full factors, bicentralizer flow and approximately inner automorphisms, Some rigidity results for \(II_1\) factors arising from wreath products of property (T) groups, Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras, Strongly ergodic equivalence relations: spectral gap and type III invariants, Structure of bicentralizer algebras and inclusions of type III factors, Structure of extensions of free Araki-Woods factors, A class of \(\mathrm{II}_1\) factors with a unique McDuff decomposition, Stability of products of equivalence relations

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