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arxiv: 1003.5002 · v1 · submitted 2010-03-25 · 🧮 math.GT

K- and L-theory of group rings

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keywords l-theorygroupmanyringsalgebraapplicationsarticleborel
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This article will explore the K- and L-theory of group rings and their applications to algebra, geometry and topology. The Farrell-Jones Conjecture characterizes K- and L-theory groups. It has many implications, including the Borel and Novikov Conjectures for topological rigidity. Its current status, and many of its consequences are surveyed.

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