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

Holger Reich; Marco Varisco

arxiv: 1702.02218 · v3 · pith:5EOGVGZInew · submitted 2017-02-07 · 🧮 math.KT · math.AT· math.GT

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

Holger Reich , Marco Varisco This is my paper

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keywords algebraalgebraicconjecturecontrolledmethodstheorytraceapplications

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

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