Growth in group extensions of subshifts of finite type

Rhiannon Dougall (Université de Nantes)

Frank Adams 1,

We will discuss growth (pressure and spectrum of the transfer operator) for group extensions of subshifts of finite type (ssft). Work of Stadlbauer tells us that (under transitivity and symmetry conditions) the pressure of the group extension coincides with the pressure for the ssft only when the group is amenable. We reformulate this in terms of unitary representations and show that in the non-amenable case, the pressure of non-amenable group extensions can be bounded by "Kazhdan distance" for the unitary representations.

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