143 citations · 581 across the 51 of their papers we have counts for
9 papers · 1 filter
Approximating Absolute Galois Groups
Gunnar Carlsson, Roy Joshua
This paper formulates a group condition which is enjoyed by absolute Galois groups, and which guarantees that profinite groups satisfying the condition can be approximated as an in…
Asymptotic transfer maps in parametrized K-theory
Gunnar Carlsson, Boris Goldfarb
We define asymptotic transfers in bounded K-theory together with a context where this can be done in great generality. Controlled algebra plays a central role in many advances in g…
Excision in equivariant fibred G-theory
Gunnar Carlsson, Boris Goldfarb
This paper provides a generalization of excision theorems in controlled algebra in the context of equivariant G-theory with fibred control and families of bounded actions. It also…
Bounded G-theory with fibred control
Gunnar Carlsson, Boris Goldfarb
We use filtered modules over a Noetherian ring and fibred bounded control on homomorphisms to construct a new kind of controlled algebra with applications in geometric topology. Th…
On Modules over Infinite Group Rings
Gunnar Carlsson, Boris Goldfarb
Let be a commutative ring and be an infinite discrete group. The algebraic -theory of the group ring is an important object of computation in geometric topology a…
K-theory of geometric modules with fibred control
Gunnar Carlsson, Boris Goldfarb
Controlled algebra plays a central role in many recent advances in geometric topology. This paper studies the iteration construction that was present from the very origins of the t…