Free Araki-Woods factors and Connes’ bicentralizer problem
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Publication:3642661
DOI10.1090/S0002-9939-09-09923-7zbMath1183.46060arXiv0809.3827MaRDI QIDQ3642661
Publication date: 6 November 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.3827
Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Classification of factors (46L36)
Related Items (10)
Structural results for free Araki–Woods factors and their continuous cores ⋮ Amenability versus non amenability: an introduction to von Neumann algebras ⋮ Unique prime factorization and bicentralizer problem for a class of type III factors ⋮ On the commutants of generators of \(q\)-deformed Araki-Woods von Neumann algebras ⋮ On the factoriality of \(q\)-deformed Araki-Woods von Neumann algebras ⋮ Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors ⋮ Structure of bicentralizer algebras and inclusions of type III factors ⋮ Classification of a family of non-almost-periodic free Araki-Woods factors ⋮ Connes' bicentralizer problem for q‐deformed Araki–Woods algebras ⋮ Generator masas in \(q\)-deformed Araki-Woods von Neumann algebras and factoriality
Cites Work
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- Free quasi-free states
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- Free products of finite dimensional and other von Neumann algebras with respect to non-tracial states
- Some applications of freeness with amalgamation
- On the classification of full factors of type III
- Une classification des facteurs de type ${\rm III}$
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