\(\Aut(\mathbb{F}_5)\) has property \((T)\)
From MaRDI portal
Publication:2332927
DOI10.1007/s00208-019-01874-9zbMath1494.22004arXiv1712.07167OpenAlexW3037407997WikidataQ91216749 ScholiaQ91216749MaRDI QIDQ2332927
Piotr W. Nowak, Marek Kaluba, Narutaka Ozawa
Publication date: 5 November 2019
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.07167
Automorphism groups of groups (20F28) Kazhdan's property (T), the Haagerup property, and generalizations (22D55)
Related Items
Interview with Igor Pak ⋮ On representations of \(\operatorname{Gal}(\overline{\mathbb{Q}} / \mathbb{Q})\), \(\widehat{GT}\) and \(\operatorname{Aut}(\hat{F}_2)\) ⋮ Property FW and 1-dimensional piecewise groups ⋮ On property (T) for \(\Aut(F_n)\) and \(\mathrm{SL}_n(\mathbb{Z})\) ⋮ A condition that prevents groups from acting fixed point free on cube complexes ⋮ Żuk’s criterion for Banach spaces and random groups ⋮ Tame automorphism groups of polynomial rings with property (T) and infinitely many alternating group quotients ⋮ Geometric structures in group theory. Abstracts from the workshop held February 27 -- March 5, 2022 ⋮ Arithmetic quotients of the automorphism group of a right-angled Artin group ⋮ Group algebra criteria for vanishing of cohomology ⋮ Trees, homology, and automorphism groups of right-angled Artin groups ⋮ Maximal subgroups and von Neumann subalgebras with the Haagerup property ⋮ Outer automorphism groups of right-angled Coxeter groups are either large or virtually abelian ⋮ A sixteen-relator presentation of an infinite hyperbolic Kazhdan group ⋮ Negative curvature in automorphism groups of one-ended hyperbolic groups
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Conic optimization via operator splitting and homogeneous self-dual embedding
- A numerical algorithm for block-diagonal decomposition of matrix \(*\)-algebras with application to semidefinite programming
- Numerical block diagonalization of matrix \(\ast\)-algebras with application to semidefinite programming
- A presentation for the special automorphism group of a free group
- Some rigidity results for non-commutative Bernoulli shifts
- Combinatorial and geometric group theory. Dortmund and Ottawa-Montreal conferences. Selected papers of the conferences on ``Combinatorial and geometric group theory with applications (GAGTA), Dortmund, Germany, August 27--31, 2007, ``Fields workshop in asymptotic group theory and cryptography, Ottawa, Canada, December 14--16, 2007, and the workshop on ``Action on trees, non-Archimedian words, and asymptotic cones, Montreal, Canada, December 17--21, 2007.
- Linear representations of the automorphism group of a free group.
- Discrete groups, expanding graphs and invariant measures. With an appendix by Jonathan D. Rogawski
- Certifying numerical estimates of spectral gaps
- Symmetric groups and expander graphs.
- Ordered linear spaces
- Property \((T)\) for noncommutative universal lattices
- On property (T) for \(\Aut(F_n)\) and \(\mathrm{SL}_n(\mathbb{Z})\)
- The product replacement algorithm and Kazhdan’s property (T)
- Invariant Semidefinite Programs
- Superstrong approximation for monodromy groups
- Kazhdan’s Property (T) via Semidefinite Optimization
- Julia: A Fresh Approach to Numerical Computing
- A faithful polynomial representation of Out F3
- NONCOMMUTATIVE REAL ALGEBRAIC GEOMETRY OF KAZHDAN’S PROPERTY (T)
- Non-commutative Real Algebraic Geometry - Some Basic Concepts and First Ideas
- Finite Quotients of the Automorphism Group of a Free Group
- Computing Kazhdan Constants by Semidefinite Programming
- JuMP: A Modeling Language for Mathematical Optimization
