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arXiv · 1004.0918

Algebraic Kasparov K-theory. I

Grigory Garkusha
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Abstract

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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Grigory Garkusha. 2010-04-06. Algebraic Kasparov K-theory. I. https://arxiv.org/abs/1004.0918

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