2 citations · 4 across the 4 of their papers we have counts for
4 papers
Non-Wiener groups with a Gelfand pair
Max Carter, Jared T. White
Let be a non-amenable locally compact group and a compact subgroup of such that is a Gelfand pair. We show that if admits a suitable boundary representation…
Homomorphic Images of Locally Compact Groups Acting on Trees and Buildings
Max Carter, George A. Willis
We study analogues of Cartan decompositions of Lie groups for totally disconnected locally compact groups. It is shown using these decompositions that a large class of totally disc…
Decomposition Theorems for Automorphism Groups of Trees
Max Carter, George A. Willis
Motivated by the Bruhat and Cartan decompositions of general linear groups over local fields, double cosets of the group of label preserving automorphisms of a label-regular tree o…
On free products of graphs
Max Carter, Stephan Tornier, George A. Willis
We define a free product of connected simple graphs that is equivalent to several existing definitions when the graphs are vertex-transitive but differs otherwise. The new definiti…