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arxiv: 1608.01770 · v1 · pith:GRPHW2QVnew · submitted 2016-08-05 · 🧮 math.KT

Algebraic K-theory of finitely projective modules on mathbb{E}_(infty)-rings

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keywords k-theorymodulesfinitelyinftyprojectiveringsalgebraiccategory
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In this paper, we study the K-theory on higher modules in spectral algebraic geometry. We relate the K-theory of an $\infty$-category of finitely generated projective modules on certain $\mathbb{E}_{\infty}$-rings with the K-theory of an ordinary category of finitely generated projective modules on ordinary rings.

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