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- W2947216788 abstract "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." @default.
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- W2947216788 date "2019-05-29" @default.
- W2947216788 modified "2023-10-17" @default.
- W2947216788 title "A Lichnerowicz Vanishing Theorem for the Maximal Roe Algebra" @default.
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- W2947216788 doi "https://doi.org/10.48550/arxiv.1905.12299" @default.
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