Journal of Noncommutative Geometry

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Volume 8, Issue 2, 2014, pp. 393–432
DOI: 10.4171/JNCG/160

Published online: 2014-07-18

L2-index formula for proper cocompact group actions

Hang Wang[1]

(1) Tsinghua University, Beijing, China

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.

Keywords: L2-index, K-theoretic index, G-trace, heat kernel

Wang Hang: L2-index formula for proper cocompact group actions. J. Noncommut. Geom. 8 (2014), 393-432. doi: 10.4171/JNCG/160