K-theory of admissible Zariski-Riemann spaces
arXiv:2101.04131 · doi:10.2140/akt.2023.8.1
Abstract
We study relative algebraic K-theory of admissible Zariski-Riemann spaces and prove that it is equivalent to G-theory and satisfies homotopy invariance. Moreover, we provide an example of a non-noetherian abelian category whose negative K-theory vanishes.
v3: Last submitted and final version. Text overlap with arXiv:1910.10437 concerning the basics about admissible Zariski-Riemann spaces