On type \(III_{1}\) factors arising as free products

DOI10.4310/MRL.2011.V18.N5.A8zbMath1243.46053arXiv1101.4991OpenAlexW3099715667MaRDI QIDQ2428823

Yoshimichi Ueda

Publication date: 21 April 2012

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4991

zbMATH Keywords

free productstype \(\text{III}_1\) factors

Mathematics Subject Classification ID

Classification of factors (46L36) Free products of (C^*)-algebras (46L09)

Related Items (12)

A characterization of the fullness of continuous cores of type \(\mathrm{III}_{1}\) free product factors ⋮ Existentially closed \(\mathrm{W}^*\)-probability spaces ⋮ Free products in AQFT ⋮ Operator algebras of free wreath products ⋮ On the factoriality of \(q\)-deformed Araki-Woods von Neumann algebras ⋮ Asymptotic structure of free product von Neumann algebras ⋮ Factoriality, type classification and fullness for free product von Neumann algebras ⋮ Asymptotic structure of free Araki-Woods factors ⋮ Free products of finite-dimensional and other von Neumann algebras in terms of free Araki-Woods factors ⋮ Ultraproducts of von Neumann algebras ⋮ Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras ⋮ A free product pair rigidity result in von Neumann algebras

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