22 citations · 22 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
The amenability of affine algebras
Gabor Elek
We introduce the notion of amenability for affine algebras. We characterize amenability by Folner-sequences, paradoxicality and the existence of finitely invariant dimension-measur…