Linear sofic groups and algebras
From MaRDI portal
Publication:2951903
DOI10.1090/tran/6706zbMath1406.20038arXiv1212.6780OpenAlexW2964237114MaRDI QIDQ2951903
Liviu Păunescu, Goulnara N. Arzhantseva
Publication date: 10 January 2017
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.6780
Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Residual properties and generalizations; residually finite groups (20E26) Ultraproducts and related constructions (03C20) Algebraic geometry over groups; equations over groups (20F70)
Related Items (12)
Metric approximations of unrestricted wreath products when the acting group is amenable ⋮ Metric Approximations of Wreath Products ⋮ Some remarks on finitarily approximable groups ⋮ Infinite dimensional representations of finite dimensional algebras and amenability ⋮ Stable finiteness does not imply linear soficity ⋮ Convergence and limits of linear representations of finite groups ⋮ AN INVITATION TO MODEL THEORY AND C*-ALGEBRAS ⋮ Approximations of groups, characterizations of sofic groups, and equations over groups ⋮ Soficity and hyperlinearity for metric groups ⋮ Almost commuting matrices with respect to the rank metric ⋮ On sofic monoids ⋮ Permanence properties of verbal products and verbal wreath products of groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A sofic group away from amenable groups.
- Exercises in modules and rings.
- Entropy and isoperimetry for linear and non-linear group actions.
- Sofic groups and profinite topology on free groups.
- On amenability of group algebras. I.
- Theory of codes with maximum rank distance
- On tensor products of certain group \(C^*\)-algebras
- Bilinear forms over a finite field, with applications to coding theory
- Endomorphisms of symbolic algebraic varieties
- The amenability of affine algebras
- Sofic groups and direct finiteness.
- On finite approximations of groups and algebras
- \(C^*\)-algebras, Gelfand-Kirillov dimension, and Følner sets
- Maps on matrix and operator algebras
- Asymptotic invariants of finitely generated algebras. A generalization of Gromov's quasi-isometric viewpoint.
- Product between ultrafilters and applications to the Connes' embedding problem
- A DICHOTOMY FOR THE NUMBER OF ULTRAPOWERS
- Logic for metric structures and the number of universal sofic and hyperlinear groups
- On low rank perturbations of complex matrices and some discrete metric spaces
- On the number of universal sofic groups
- An introduction to hyperlinear and sofic groups
- ON ALGEBRAS THAT HAVE ALMOST FINITE DIMENSIONAL REPRESENTATIONS
- On sofic groups
- Hyperlinear and Sofic Groups: A Brief Guide
This page was built for publication: Linear sofic groups and algebras