Algebraic Kasparov $K$-theory. I
Grigory Anatolevich Garkusha · Documenta Mathematica · 2014
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.