6 papers · 1 filter
A remark on the invariance of -theory under duality
Georg Lehner
In this short remark, we explain that two examples of invariance under duality for a localizing invariant hold purely formally when is -theory, whereas the general state…
Algebraic -theory of stably compact spaces
Georg Lehner
We compute the value of finitary localizing invariants, including algebraic -theory, on categories of sheaves over stably locally compact spaces . Our formula simultaneously…
Algebraic -theory of coherent spaces
Georg Lehner
We give a description of the value of a finitary localizing invariant, such as algebraic -theory, on the category of sheaves on a locally coherent space . This in particular…
Computing the negative -theory of finite groups of order
Georg Lehner
We outline how the group for a finite group can be computed using the computer language and compile a table of all groups of order less than…
Group completion via the action -category
Georg Lehner
We give a generalization of Quillen's construction for arbitrary -monoids as an -monoidal -category and show that its realization models the group c…
The passage from the integral to the rational group ring in algebraic -theory
Georg Lehner
An open question is whether the map in reduced -theory from the integral to the rational group ring is tr…