The fundamental theorem via derived Morita invariance, localization, and double-struck A sign ~1-homotopy invariance

Tabuada G.

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The fundamental theorem via derived Morita invariance, localization, and double-struck A sign ~1-homotopy invariance

机译：通过衍生的森田不变性，局部化和双重打击A符号〜1同态不变性的基本定理

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摘要

We prove that every functor defined on dg categories, which is derived Morita invariant, localizing, and double-struck A sign ~1-homotopy invariant, satisfies the fundamental theorem. As an application, we recover in a unified and conceptual way, Weibel and Kassel's fundamental theorems in homotopy algebraic K-theory, and periodic cyclic homology, respectively.

机译：我们证明，在dg类别上定义的每个函子都可以满足基本定理，该函子是Morita不变的，局部的和双重敲击的A符号〜1同伦不变的。作为应用，我们以统一和概念性的方式分别恢复了Weibel和Kassel的同伦代数K-理论的基本定理，以及周期循环同构。

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《Journal of K-Theory》 |2012年第3期|共14页
作者
Tabuada G.;
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正文语种 eng
中图分类数学;
关键词
Dg categories; double-struck A sign ~1-homotopy invariance; Fundamental theorem; Homotopy algebraic K-theory; Periodic cyclic homology;

机译：Dg类;双敲A符号〜-1同伦不变性;基本定理;同伦代数K-理论;周期循环同源性;

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The fundamental theorem via derived Morita invariance, localization, and double-struck A sign ~1-homotopy invariance

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