Global algebraic Ktheory
Abstract
We introduce a global equivariant refinement of algebraic Ktheory; here `global equivariant' refers to simultaneous and compatible actions of all finite groups. Our construction turns a specific kind of categorical input data into a global $\Omega$spectrum that keeps track of genuine $G$equivariant infinite loop spaces, for all finite groups $G$. The resulting global algebraic Ktheory spectrum is a rigid way of packaging the representation Ktheory, or `Swan Ktheory' into one highly structured object.
 Publication:

arXiv eprints
 Pub Date:
 December 2019
 arXiv:
 arXiv:1912.08872
 Bibcode:
 2019arXiv191208872S
 Keywords:

 Mathematics  Algebraic Topology;
 19D;
 55P (primary);
 19D23;
 55P48;
 55P91;
 55Q91 (secondary)
 EPrint:
 Journal of Topology 15 (2022), 13251454