34 citations · 53 across the 9 of their papers we have counts for
11 papers
Finitely -amenable actions and Decomposition Complexity of Groups
Andrew Nicas, David Rosenthal
In his work on the Farrell-Jones Conjecture, Arthur Bartels introduced the concept of a "finitely -amenable" group action, where is a family of subgroups…
Regular Finite Decomposition Complexity
Daniel Kasprowski, Andrew Nicas, David Rosenthal
We introduce the notion of regular finite decomposition complexity of a metric family. This generalizes Gromov's finite asymptotic dimension and is motivated by the concept of fini…
Hyperbolic Dimension and Decomposition Complexity
Andrew Nicas, David Rosenthal
The aim of this paper is to provide some new tools to aid the study of decomposition complexity, a notion introduced by Guentner, Tessera and Yu. In this paper, three equivalent de…
Metric dimensions of minor excluded graphs and minor exclusion in groups
Mikhail I. Ostrovskii, David Rosenthal
An infinite graph G is minor excluded if there is a finite graph that is not a minor of G. We prove that minor excluded graphs have finite Assouad-Nagata dimension and study minor…
Coarse structures on groups
Andrew Nicas, David Rosenthal
We introduce the group-compact coarse structure on a Hausdorff topological group in the context of coarse structures on an abstract group which are compatible with the group operat…
On the K- and L-theory of hyperbolic and virtually finitely generated abelian groups
Wolfgang Lueck, David Rosenthal
We investigate the algebraic K- and L-theory of the group ring RG, where G is a hyperbolic or virtually finitely generated abelian group and R is an associative ring with unit.