On the classification of full factors of type III
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Publication:4813842
DOI10.1090/S0002-9947-04-03457-9zbMath1050.46046arXivmath/0201007OpenAlexW1568428346MaRDI QIDQ4813842
Publication date: 13 August 2004
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0201007
Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Classifications of (C^*)-algebras (46L35)
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Structural results for free Araki–Woods factors and their continuous cores ⋮ A characterization of the fullness of continuous cores of type \(\mathrm{III}_{1}\) free product factors ⋮ A new construction of factors of type III\(_{1}\) ⋮ An inequality for non-microstates free entropy dimension for crossed products by finite abelian groups ⋮ Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors ⋮ Factoriality, type classification and fullness for free product von Neumann algebras ⋮ Amalgamated free products of weakly rigid factors and calculation of their symmetry groups ⋮ Free Araki-Woods factors and Connes’ bicentralizer problem ⋮ Construction of type II1 factors with prescribed countable fundamental group ⋮ Spectral gap characterization of full type III factors ⋮ Structure of extensions of free Araki-Woods factors ⋮ Classification of a family of non-almost-periodic free Araki-Woods factors ⋮ C*-bialgebra Defined as the Direct Sum of UHF Algebras
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