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pro vyhledávání: '"Saunier, Victor"'
We study algebraic K-theory and topological Hochschild homology in the setting of bimodules over a stable category, a datum we refer to as a laced category. We show that in this setting both K-theory and THH carry universal properties, the former def
Externí odkaz:
http://arxiv.org/abs/2411.04743
Autor:
Saunier, Victor
We show that Quillen's resolution theorem for K-theory also applies to exact $\infty$-categories. We introduce heart structures on a stable $\infty$-category, generalizing weight structures, and using resolution ideas, we show that the category of st
Externí odkaz:
http://arxiv.org/abs/2311.13836
Autor:
Saunier, Victor
Publikováno v:
Ann. K-Th. 8 (2023) 609-643
We prove a generalization of the fundamental theorem of algebraic K-theory for Verdier-localizing functors by extending the proof for algebraic K-theory of spaces to the realm of stable $\infty$-categories. The formula behaves much better for Karoubi
Externí odkaz:
http://arxiv.org/abs/2209.05818