11 citations · 28 across the 8 of their papers we have counts for
8 papers
Relative Amenability and Relative Soficity
Ronghui Ji, Crichton Ogle, Bobby Ramsey
We define a notion of relative soficity for countable groups with respect to a family of groups. A group is sofic if and only if it is relative sofic with respect to the family con…
Strong embeddability and extensions of groups
Ronghui Ji, Crichton Ogle, Bobby Ramsey
We introduce the notion of strong embeddability for a metric space. This property lies between coarse embeddability and property A. A relative version of strong embeddability is de…
Asymptotically exact spaces and coarse assembly
Ronghui Ji, Crichton Ogle, Bobby Ramsey
Between the category of exact metric spaces with bounded geometry (about which much is known) and the larger category of arbitrary exact metric spaces (about which little is known)…
Relative property A and relative amenability for countable groups
Ronghui Ji, Crichton Ogle, Bobby Ramsey
We define a relative property A for a countable group with respect to a finite family of subgroups. Many characterizations for relative property A are given. In particular a relati…
On the Hochschild and cyclic (co)homology of rapid decay group algebras
Ronghui Ji, Crichton Ogle, Bobby Ramsey
We show that the technical condition of solvable conjugacy bound, introduced in \cite{JOR1}, can be removed without affecting the main results of that paper. The result is a Burghe…
B-Bounded cohomology and applications
R. Ji, C. Ogle, B. Ramsey
A discrete group with word-length (G,L) is B-isocohomological for a bounding classes B if the comparison map from B-bounded cohomology to ordinary cohomology (with complex coeffici…
The isocohomological property, higher Dehn functions, and relatively hyperbolic groups
R. Ji, B. Ramsey
The property that the polynomial cohomology with coefficients of a finitely generated discrete group is canonically isomorphic to the group cohomology is called the (weak) isocohom…
Relatively hyperbolic groups, rapid decay algebras, and a generalization of the Bass conjecture
R. Ji, C. Ogle, B. Ramsey
By deploying dense subalgebras of we generalize the Bass conjecture in terms of Connes' cyclic homology theory. In particular, we propose a stronger version of the $\el…