7 citations · 19 across the 11 of their papers we have counts for
5 papers · 1 filter
The "fundamental theorem" for the algebraic -theory of strongly -graded rings
Thomas Huettemann
The "fundamental theorem" for algebraic -theory expresses the -groups of a Laurent polynomial ring as a direct sum of two copies of the -groups of (with…
An elementary description of without elementary matrices
Thomas Huettemann, Zuhong Zhang
Let be a ring with unit. Passing to the colimit with respect to the standard inclusions (which add a unit vector as new last row and column) yields, by…
Non-commutative localisation and finite domination over strongly Z-graded rings
Thomas Huettemann
Let R be a strongly Z-graded ring with degree-0 subring S, and let C be a chain complex of modules over the subring P of elements of non-negative degree. We show that there are non…
Double complexes and vanishing of Novikov cohomology
Thomas Huettemann
We consider a non-standard totalisation functor to produce a cochain complex from a given double complex: instead of sums or products, totalisation is defined via truncated product…
The Linearisation Map in Algebraic K-Theory
Thomas Huettemann
Let X be a pointed connected simplicial set with loop group G. The linearisation map in K-theory as defined by Waldhausen uses G-equivariant spaces. This paper gives an alternative…