11 citations · 32 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
A Spectral sequence for polynomially bounded cohomology
Bobby W. Ramsey
We construct an analogue of the Lyndon-Hochschild-Serre spectral sequence in the context of polynomial cohomology, for group extensions. If G is an extension of Q by H, then the sp…
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…