Journal of Noncommutative Geometry
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Published online: 2014-07-18
L2-index formula for proper cocompact group actionsHang Wang (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