代数K -理论，汇编映射，控制代数，和跟踪方法

arXiv: K-Theory and Homology Pub Date : 2017-02-07 DOI:10.1515/9783110452150-001

H. Reich, Marco Varisco

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引用次数: 11

摘要

本文简要介绍了代数K理论中的法雷尔-琼斯猜想及其一些应用。我们调查了这个猜想的现状，并说明了用来攻击它的两个主要工具:控制代数和跟踪方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Algebraic $K$-theory, assembly maps, controlled algebra, and trace methods

We give a concise introduction to the Farrell-Jones Conjecture in algebraic $K$-theory and to some of its applications. We survey the current status of the conjecture, and we illustrate the two main tools that are used to attack it: controlled algebra and trace methods.

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来源期刊

arXiv: K-Theory and Homology

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