22 citations · 22 across the 6 of their papers we have counts for
11 papers
Weak convergence of finite graphs, integrated density of states and a Cheeger type inequality
Gábor Elek
In \cite{Elek} we proved that the limit of a weakly convergent sequence of finite graphs can be viewed as a graphing or a continuous field of infinite graphs. Thus one can associat…
On limits of finite graphs
Gabor Elek
We prove that for any weakly convergent sequence of finite graphs with bounded vertex degrees, there exists a topological limit graphing.
The Ends of Algebras
Gabor Elek, Aryeh Y. Samet-Vaillant
We introduce the notion of ends for algebras. The definition is analogous to the one in geometric group theory. We establish some relations to growth conditions and cyclic cohomolo…
On algebras that almost have finite dimensional representations
Gábor Elek
We introduce the notion of almost finite dimensionality of algebras and study its connection with the classical finiteness conditions.
The amenability and non-amenability of skew fields
Gábor Elek
We investigate the amenability of skew filed extensions of the complex numbers. We prove that all skew fields of finite Gelfand-Kirillov transcendence degree are amenable. However…
On sofic groups
G. Elek, E. Szabo
Answering some queries of Weiss, we prove that the free product and amenable extensions of sofic groups are sofic as well, and give an example of a finitely generated sofic group t…