A Cocycle in the Adjoint Representation of the Orthogonal Free Quantum Groups

DOI10.1093/imrn/rnu268zbMath1378.46055arXiv1402.4798OpenAlexW2963440515MaRDI QIDQ3451026

Pierre Fima, Roland Vergnioux

Publication date: 10 November 2015

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

Full work available at URL: https://arxiv.org/abs/1402.4798

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (8)

RIESZ TRANSFORMS ON COMPACT QUANTUM GROUPS AND STRONG SOLIDITY ⋮ The radial MASA in free orthogonal quantum groups ⋮ Properly proximal von Neumann algebras ⋮ The Connes embedding property for quantum group von Neumann algebras ⋮ Gradient forms and strong solidity of free quantum groups ⋮ Orthogonal free quantum group factors are strongly 1-bounded ⋮ Strong 1-boundedness of unimodular orthogonal free quantum groups ⋮ The Haagerup approximation property for von Neumann algebras via quantum Markov semigroups and Dirichlet forms

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