Connes embeddability of graph products

DOI10.1142/S0219025716500041zbMath1361.46044arXiv1506.01873OpenAlexW2964005925MaRDI QIDQ2797887

Martijn Caspers

Publication date: 1 April 2016

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01873

zbMATH Keywords

free productsgraph productsConnes embedding problem

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Linear operators in (C^*)- or von Neumann algebras (47C15) Free products of (C^*)-algebras (46L09)

Related Items (6)

Matrix models for \(\varepsilon\)-free independence ⋮ The CCAP for graph products of operator algebras ⋮ Quantum groups with partial commutation relations ⋮ Graph product Khintchine inequalities and Hecke \(C^\ast \)-algebras: Haagerup inequalities, (non)simplicity, nuclearity and exactness ⋮ Graph products of operator algebras ⋮ On MASAs in \(q\)-deformed von Neumann algebras

Cites Work

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• Asymptotic matricial models and QWEP property for \(q\)-Araki-Woods algebras
• Introduction to sofic and hyperlinear groups and Connes' embedding conjecture. With an appendix by Vladimir Pestov
• Independence properties in subalgebras of ultraproduct \(\mathrm{II}_1\) factors
• Free independence in ultraproduct von Neumann algebras and applications
• The Connes embedding property for quantum group von Neumann algebras
• ORDERING GRAPH PRODUCTS OF GROUPS
• ABOUT THE QWEP CONJECTURE
• RAPID DECAY IS PRESERVED BY GRAPH PRODUCTS
• Theory of operator algebras I.

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