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math.DS1999
Amenable groups, topological entropy and Betti numbers
Gabor Elek
We investigate an analogue of the L^2-Betti numbers for amenable linear subshifts. The role of the von Neumann dimension shall be played by the topological entropy.
math.DS1998
The Euler characteristic of discrete groups and Yuzvinskii's entropy addition formula
Gabor Elek
The notion of topological entropy is originally defined for a single action. Later it was extended by Kieffer for arbitrary discrete amenable groups. Recently Friedland defined top…