Expansive actions on uniform spaces and surjunctive maps

Abstract

We present a uniform version of a result of M. Gromov on the surjunctivity of maps commuting with expansive group actions and discuss several applications. We prove in particular that for any group $\Gamma$ and any field $\K$, the space of $\Gamma$-marked groups $G$ such that the group algebra $\K[G]$ is stably finite is compact.

21 pages

References in corpus (1)

• On the isolated points in the space of groups

Cited by in corpus (2)

• Expansive actions with specification on uniform spaces, topological entropy, and the Myhill property
• Stability Theorems for Group Actions on Uniform Spaces