The variational principle of topological pressures for actions of sofic groups

Details The variational principle of topological pressures for actions of sofic groups The variational principle of topological pressures for actions of sofic groups

2011-10-04

arxiv.org/abs/1110.0699v2

Mathematics

Dynamical Systems

28 pages. Minor changes

Scientific paper

In this paper, we introduce topological pressure for continuous actions of
countable sofic groups on compact metrizable spaces. This generalizes the
classical topological pressure for continuous actions of countable amenable
groups on such spaces. We also establish the variational principle for
topological pressure in this sofic context.

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