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1 results

Co-spectral radius of intersections
Part of
- Ergodic theory
- Structure and classification of infinite or finite groups
MIKOLAJ FRACZYK, WOUTER VAN LIMBEEK
Journal: Ergodic Theory and Dynamical Systems , First View
Published online by Cambridge University Press: 17 April 2023, pp. 1-15
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We study the behavior of the co-spectral radius of a subgroup H of a discrete group $\Gamma $ under taking intersections. Our main result is that the co-spectral radius of an invariant random subgroup does not drop upon intersecting with a deterministic co-amenable subgroup. As an application, we find that the intersection of independent co-amenable invariant random subgroups is co-amenable.