Squeezing and Higher Algebraic K-Theory

57 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A notion of geometric complexity and its application to topological rigidity (2010, background): “The concept of finite asymptotic dimension has played an important role in the computation of K-theory in both topological and analytic contexts [2, 5, 6, 28].”
Isomorphism Conjecture for homotopy K-theory and groups acting on trees (2004, background): “This proves that the KH-assembly map is split injective for groups G of finite asymptotic dimension that admit a finite model for BG [2] and for groups G for which EFIN(G) has a compactification with certain properties [23].”
Coefficients for the Farrell¿Jones Conjecture (2005, methodology): “Both, the proof of Theorem 8.2 and of Theorem 8.3 are trivial modifications of the original proofs in [Ros04] respectively [ Bar03 ].”
The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory (2004, background): “The next result due to Bartels [17] is the algebraic K- and L-theory analogue of Theorem 133.”
The K-theoretic Farrell–Jones conjecture for hyperbolic groups (2007, methodology): “Improving on an idea from [10] we formulate and prove a kind of stability result for the obstruction category in Theorem 7.”