Expansive actions on uniform spaces and surjunctive maps

Details Expansive actions on uniform spaces and surjunctive maps Expansive actions on uniform spaces and surjunctive maps

2008-10-07

arxiv.org/abs/0810.1295v3

Bull. Math. Sci. 1 (2011), 79-98

Mathematics

Group Theory

21 pages

Scientific paper

10.1007/s13373-011-0004-5

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.

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