Groups acting by translations in coarse geometry
by
John Roe
Penn State University
Coauthors: Nigel Higson

A translation of a coarse space X is a bijection X --> X whose graph is controlled (in the metric case, this means `finite distance from the diagonal'). Groups acting by translations on coarse spaces can produce interesting K-theory classes. We'll describe a geometric construction which yields many examples of coarse spaces with translation actions. These examples include spaces which show the failure of surjectivity for the coarse assembly map.

Date received: February 27, 2003