Algebraic Kasparov K-theory. I
K-Theory and Homology
2014-11-20 v5 Algebraic Topology
Operator Algebras
Rings and Algebras
Abstract
This paper is to construct unstable, Morita stable and stable bivariant algebraic Kasparov -theory spectra of -algebras. These are shown to be homotopy invariant, excisive in each variable -theories. We prove that the spectra represent universal unstable, Morita stable and stable bivariant homology theories respectively.
Cite
@article{arxiv.1004.0918,
title = {Algebraic Kasparov K-theory. I},
author = {Grigory Garkusha},
journal= {arXiv preprint arXiv:1004.0918},
year = {2014}
}
Comments
This is the final revised version