11 citations · 34 across the 24 of their papers we have counts for
13 papers · 1 filter
A Fundamental Theorem for the -theory of connective -algebras
Ernest E. Fontes, Crichton Ogle
Invoking the density argument of Dundas-Goodwillie-McCarthy, we extend the Fundamental Theorem of -theory from the category of simplicial rings to the category of -a…
Fundamental theorems for the K-theory of -algebras, I: the connective case
Crichton Ogle
We extend the Bass-Quillen Fundamental Theorem of Algebraic K-theory to the Waldhausen K-theory of connective -algebras. The same technique used in this extension also yie…
Subexponential group cohomology and the K-theory of Lafforgue's algebra A_{max}(pi)
R. Ji, C. Ogle
We show that for any finitely generated group G, group cohomology classes represented by cocycles of subexponential growth are extendable over the topological K-groups of the Laffo…
On the homotopy type of A(Σ(X))
C. Ogle
We give a correct proof that for all connected spaces X, the functor X |-> A(Σ(X)) splits up to homotopy as a product of its Goodwillie derivatives.
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…