Factors from trees

DOI10.1090/S0002-9939-97-03818-5zbMath0870.46038arXiv1302.5922OpenAlexW1816905057WikidataQ105937718 ScholiaQ105937718MaRDI QIDQ4339184

Jacqui Ramagge, A. Guyan Robertson

Publication date: 5 June 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5922

zbMATH Keywords

boundary of the universal cover of a manifoldfactors of type \(\text{III}_{1/n}\)group actions on homogeneous trees

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Classifications of (C^*)-algebras (46L35)

Related Items (9)

Type III factors arising from Cuntz-Krieger algebras ⋮ The type and stable type of the boundary of a Gromov hyperbolic group ⋮ The ratio set of the harmonic measure of a random walk on a hyperbolic group ⋮ On Gibbs measures of models with competing ternary and binary interactions and corresponding von Neumann algebras. II ⋮ Pointwise ergodic theorems beyond amenable groups ⋮ Bass-Serre rigidity results in von Neumann algebras ⋮ The Shannon-McMillan-Breiman theorem beyond amenable groups ⋮ Boundaries of reduced free group C*-algebras ⋮ Amenable equivalence relations and the construction of ergodic averages for group actions

Cites Work

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• Diagonal states on \({\mathcal O}_ 2\)
• Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups
• Random walks on the affine group of local fields and of homogeneous trees
• Tensor products with anisotropic principal series representations of free groups
• FREE-PRODUCT GROUPS, CUNTZ-KRIEGER ALGEBRAS, AND COVARIANT MAPS
• An example of an amenable action from geometry
• Une classification des facteurs de type ${\rm III}$

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