Fullness, Connes’ $\chi $-groups, and ultra-products of amalgamated free products over Cartan subalgebras
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Publication:3151289
DOI10.1090/S0002-9947-02-03100-8zbMath1028.46097OpenAlexW1919779633MaRDI QIDQ3151289
Publication date: 7 October 2002
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03100-8
Free probability and free operator algebras (46L54) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Automorphisms of selfadjoint operator algebras (46L40) Free products of (C^*)-algebras (46L09)
Related Items (14)
A characterization of the fullness of continuous cores of type \(\mathrm{III}_{1}\) free product factors ⋮ Type III factors with unique Cartan decomposition ⋮ Asymptotic structure of free product von Neumann algebras ⋮ Large deviation principles via spherical integrals ⋮ Factoriality, type classification and fullness for free product von Neumann algebras ⋮ Free products of measured equivalence relations. ⋮ Locally compact separable abelian group actions on factors with the Rokhlin property ⋮ Bass-Serre rigidity results in von Neumann algebras ⋮ Bi-exact groups, strongly ergodic actions and group measure space type III factors with no central sequence ⋮ Ultraproducts of von Neumann algebras ⋮ Remarks on HNN extensions in operator 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 ⋮ HNN extensions of von Neumann algebras
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