Open AccessEquivariant connective 𝐾-theory
Author(s) -
Nikita A. Karpenko,
Alexander Merkurjev
Publication year - 2021
Publication title -
journal of algebraic geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.824
H-Index - 50
eISSN - 1534-7486
pISSN - 1056-3911
DOI - 10.1090/jag/773
Subject(s) - algorithm , equivariant map , annotation , mathematics , computer science , artificial intelligence , pure mathematics
For separated schemes of finite type over a field with an action of an affine group scheme of finite type, we construct the bi-graded equivariant connective K K -theory mapping to the equivariant K K -homology of Guillot and the equivariant algebraic K K -theory of Thomason. It has all the standard basic properties as the homotopy invariance and localization. We also get the equivariant version of the Brown-Gersten-Quillen spectral sequence and study its convergence.