\(\mathrm{SL}_4(\mathbf{Z})\) is not purely matricial field

DOI10.5802/crmath.617MaRDI QIDQ6621737

Michael Magee, Mikael de la Salle

Publication date: 21 October 2024

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

special linear groupsfinite dimensionnal unitary representationsMF \(C^*\)-algebrapurely MF groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Representations of finite groups of Lie type (20C33)

Cites Work

• Unnamed Item
• Ordinary and modular characters of \(\mathrm{SL}(3,p)\).
• Around quasidiagonal operators
• Generalized inductive limits of finite-dimensional \(C^*\)-algebras
• Eigenvalues of random lifts and polynomials of random permutation matrices
• Operator-algebraic superridigity for \(\mathrm{SL}_{n}(\mathbb Z)\), \(n \geq 3\)
• A new application of random matrices: \(\operatorname{Ext} (C_{\text{red}}^*(F_2))\) is not a group
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Representations of SL2(Fq)
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• Near optimal spectral gaps for hyperbolic surfaces

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