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.
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Hang Wang, <var>L</var><sup>2</sup>-index formula for proper cocompact group actions. J. Noncommut. Geom. 8 (2014), no. 2, pp. 393–432DOI 10.4171/JNCG/160