Primeness Results for von Neumann Algebras Associated with Surface Braid Groups

DOI10.1093/IMRN/RNV271zbMath1404.22017arXiv1412.8025OpenAlexW3105927064MaRDI QIDQ4560490

Sujan Pant, Ionut Chifan, Yoshikata Kida

Publication date: 12 December 2018

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8025

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (11)

Tensor product decompositions of \(\mathrm{II}_1\) factors arising from extensions of amalgamated free product groups ⋮ \(W^*\)-rigidity for the von Neumann algebras of products of hyperbolic groups ⋮ Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras ⋮ Invariant subalgebras of von Neumann algebras arising from negatively curved groups ⋮ Von Neumann algebras of equivalence relations with nontrivial one-cohomology ⋮ Rigidity results for von Neumann algebras arising from mixing extensions of profinite actions of groups on probability spaces ⋮ ON FUNDAMENTAL GROUPS OF TENSOR PRODUCT FACTORS ⋮ Prime \(\mathrm{II}_1\) factors arising from irreducible lattices in products of rank one simple Lie groups ⋮ Some rigidity results for \(II_1\) factors arising from wreath products of property (T) groups ⋮ New examples of \({W}^\ast\) and \({C}^\ast \)-superrigid groups ⋮ On invariant von Neumann subalgebras rigidity property

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