The Strong Approximation Conjecture holds for amenable groups

Gábor Elek

Type: Article

Publication Date: 2006-01-31

Citations: 30

DOI: https://doi.org/10.1016/j.jfa.2005.12.016

View Publication

Locations

arXiv (Cornell University) - View - PDF
Journal of Functional Analysis - View

Similar Works

Action	Title	Year	Authors
+	The Strong Approximation Conjecture holds for amenable groups	2005	Gábor Elek
+	The Strong Approximation Conjecture holds for amenable groups	2005	Gábor Elek
+ PDF Chat	Approximation forte pour les variétés avec une action d’un groupe linéaire	2018	Yang Cao
+	Approximation for actions of amenable groups and transversal automorphisms	1985	A. A. Lodkin A. M. Vershik
+	A short proof of the Approximation Conjecture for amenable groups	2008	Daniel Pape
+	Roughness and approximation of quasi-representations of amenable groups	1999	A. I. Shtern
+	Approximation by subgroups of finite index and the Hanna Neumann conjecture	2017	Andrei Jaikin‐Zapirain
+	Arithmetic purity of strong approximation for homogeneous spaces	2019	Yang Cao Yongqi Liang Fei Xu
+	Quasitilings and Applications	2019	Lander Guerrero Sánchez
+	On approximation of amenable groups by finite quasigroups	2006	Lev Glebsky E. I. Gordon
+ PDF Chat	Metric approximations of unrestricted wreath products when the acting group is amenable	2021	Javier Brude Román Sasyk
+ PDF Chat	Approximate subgroups and super-strong approximation	2015	Emmanuel Breuillard
+	Approximation properties of simple Lie groups made discrete	2014	Søren Knudby Kang Li
+	The étale Brauer-Manin obstruction to strong approximation on homogeneous spaces	2020	Julian Lawrence Demeio
+	Metric approximations of unrestricted wreath products when the acting group is amenable	2020	Javier Brude Román Sasyk
+	The étale Brauer-Manin obstruction to strong approximation on homogeneous spaces	2022	Julian Lawrence Demeio
+	Asymptotic Approximations of Finitely Generated Groups	2014	Goulnara Arzhantseva
+	Weak approximation in algebraic groups and homogeneous spaces	1992	Boris Kunyavskiı̆ A. N. Skorobogatov
+	On classification of approximately inner actions of discrete amenable groups on strongly amenble subfactors (作用表環論の進展)	2000	俊彦増田
+	Groups and Model Theory	2021	Olga Kharlampovich Rizos Sklinos

Works That Cite This (30)

Action	Title	Year	Authors
+ PDF Chat	Very Large Graphs	2008	László Lovász
+	Soficity, amenability, and dynamical entropy	2010	David Kerr Hanfeng Li
+ PDF Chat	The strong Atiyah and Lück approximation conjectures for one-relator groups	2019	Andrei Jaikin‐Zapirain Diego López-Álvarez
+	Local variational principle concerning entropy of a sofic group action	2011	Guohua Zhang
+ PDF Chat	Convergence theorems for graph sequences	2014	Felix Pogorzelski
+	Local variational principle concerning entropy of a sofic group action	2011	Guohua Zhang
+	Quasitilings and Applications	2019	Lander Guerrero Sánchez
+	The combinatorial cost	2006	Gábor Elek
+	Approximation by subgroups of finite index and the Hanna Neumann conjecture	2017	Andrei Jaikin‐Zapirain
+	Connes embeddings and von Neumann regular closures of amenable group algebras	2012	Gábor Elek

Works Cited by This (6)

Action	Title	Year	Authors
+	ApproximatingL 2-invariants by their finite-dimensional analogues	1994	Wolfgang Lück
+	Entropy and isomorphism theorems for actions of amenable groups	1987	Donald Ornstein Benjamin Weiss
+ PDF Chat	Recurrence of Distributional Limits of Finite Planar Graphs	2001	Itaı Benjamini Oded Schramm
+ PDF Chat	Approximating <i>L</i><sup>2</sup>‐invariants and the Atiyah conjecture	2003	Józef Dodziuk Peter A. Linnell Varghese Mathai Thomas Schick Stuart Yates
+ PDF Chat	ON THE ANALYTIC ZERO DIVISOR CONJECTURE OF LINNELL	2003	Gábor Elek
+	L2-Invariants: Theory and Applications to Geometry and K-Theory	2002	Wolfgang Lück