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arXiv · 1608.01770

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

Mariko Ohara
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Abstract

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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Mariko Ohara. 2016-08-05. Algebraic K-theory of finitely projective modules on $\mathbb{E}_{\infty}$-rings. https://arxiv.org/abs/1608.01770

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