11 citations · 34 across the 24 of their papers we have counts for
6 papers · 1 filter
Filtrations of simplicial functors and the Novikov Conjecture
Crichton Ogle
We show that the Strong Novikov Conjecture for the maximal C*-algebra C*(G) of a discrete group G is equivalent to a statement in topological K-theory for which the corresponding s…
Polynomially bounded cohomology and discrete groups
Crichton Ogle
We establish the homological foundations for studying polynomially bounded group cohomology, and show that the natural map from PH^*(G;Q) to H^*(G;Q) is an isomorphism for a certai…
A remark on the Isomorphism Conjectures
Crichton Ogle, Shengkui Ye
We show that for various natural classes of groups and appropriately defined K- and L-theoretic functors, injectivity or bijectivity of the assembly map follows from the Isomorphis…
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…
Bounded homotopy theory and the -theory of weighted complexes
J. Fowler, C. Ogle
Given a bounding class , we construct a bounded refinement of Quillen's -theory functor from rings to spaces. is a functor from weighted rings to spaces, and…