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Expansive actions on uniform spaces and surjunctive mapsDOI: 10.1007/s13373-011-0004-5 Keywords: Expansive action,Uniform space,Surjunctive map,Cellular automaton,Shift action,Subshift,Group algebra,Stable finiteness,54E15,37B15,68Q80 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 Γ and any field ${\mathbb K}$ , the space of Γ-marked groups G such that the group algebra ${\mathbb {K}[G]}$ is stably finite is compact.
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