Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: K- and L-theory of group rings   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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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: econ