%0 Journal Article %A Adam Dor-On %T Toeplitz quotient $C^*$-algebras and ratio limits for random walks %J Documenta mathematica %D 2021 %P 1529-1556 %V 26 %U http://geodesic.mathdoc.fr/articles/10.4171/dm/848/ %R 10.4171/dm/848 %F 10_4171_dm_848