# Algebraic Kasparov K-theory, II

@article{Garkusha2016AlgebraicKK,
title={Algebraic Kasparov K-theory, II},
author={Grigory Garkusha},
journal={arXiv: K-Theory and Homology},
year={2016},
volume={1},
pages={275-316}
}
• G. Garkusha
• Published 1 June 2012
• Mathematics
• arXiv: K-Theory and Homology
This paper is to construct unstable, Morita stable and stable bivariant algebraic Kasparov $K$-theory spectra of $k$-algebras. These are shown to be homotopy invariant, excisive in each variable $K$-theories. We prove that the spectra represent universal unstable, Morita stable and stable bivariant homology theories respectively.
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