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arXiv · 1702.02218

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

Holger Reich·Marco Varisco
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Abstract

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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Holger Reich, Marco Varisco. 2017-02-07. Algebraic $K$-theory, assembly maps, controlled algebra, and trace methods. https://doi.org/10.1515/9783110452150-001

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