@article{TEXTUAL, recid = {6350}, author = {Fraczyk, Mikolaj and van Limbeek, Wouter}, title = {Co-spectral radius of intersections}, journal = {Ergodic Theory and Dynamical Systems}, address = {2023-04-17}, number = {TEXTUAL}, abstract = {We study the behavior of the co-spectral radius of a subgroup H of a discrete group Γ 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.}, url = {http://knowledge.uchicago.edu/record/6350}, }