Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lichnerowicz Vanishing Theorem for the Maximal Roe Algebra   We show that if a countable discrete group acts properly and isometrically on
a spin manifold of bounded Riemannian geometry and uniformly positive scalar
curvature, then, under a suitable condition on the group action, the maximal
higher index of the Dirac operator vanishes in K-theory of the maximal
equivariant Roe algebra. The group action is not assumed to be cocompact. A key
step in the proof is to establish a functional calculus for the Dirac operator
in the maximal equivariant uniform Roe algebra. This allows us to prove
vanishing of the index of the Dirac operator in K-theory of this algebra, which
in turn yields the result for the maximal higher index.

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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: nlin