Strong convergence for reduced free products

DOI10.1142/S0219025716500089zbMath1359.46054arXiv1203.3186OpenAlexW2419114371MaRDI QIDQ3186060

Gilles Pisier

Publication date: 8 August 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/1203.3186

zbMATH Keywords

strong convergencereduced free productreduced amalgamated free productnon-commutative Khintchine inequality

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Operator spaces and completely bounded maps (46L07) Noncommutative probability and statistics (46L53)

Related Items (1)

A short note on strong convergence of q-Gaussians

Cites Work

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• No eigenvalues outside the support of the limiting spectral distribution of large-dimensional sample covariance matrices
• On a notion of exactness for reduced free products of \(C^*\)-algebras
• A new application of random matrices: \(\operatorname{Ext} (C_{\text{red}}^*(F_2))\) is not a group
• Free Random Variables
• Khintchine type inequalities for reduced free products and applications
• Ultraproducts in Banach space theory.
• The strong asymptotic freeness of Haar and deterministic matrices

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