JournalsjncgVol. 8, No. 2pp. 393–432

<var>L</var><sup>2</sup>-index formula for proper cocompact group actions

  • Hang Wang

    Tsinghua University, Beijing, China
<var>L</var><sup>2</sup>-index formula for proper cocompact group actions cover
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Abstract

We study index theory of G-invariant elliptic pseudo-differential operators acting on a complete Riemannian manifold, where a unimodular, locally compact group G acts properly, cocompactly and isometrically. An L2-index formula is obtained using the heat kernel method.

Cite this article

Hang Wang, <var>L</var><sup>2</sup>-index formula for proper cocompact group actions. J. Noncommut. Geom. 8 (2014), no. 2, pp. 393–432

DOI 10.4171/JNCG/160