46 citations · 232 across the 47 of their papers we have counts for
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The Strong Approximation Conjecture holds for amenable groups
Gabor Elek
We prove that the approximation conjecture of Luck holds for all amenable groups in the complex group algebra case. This result was previously proved by Dodziuk, Linnell, Mathai, S…
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…