-index formula for proper cocompact group actions
Hang Wang
Tsinghua University, Beijing, China
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Abstract
We study index theory of -invariant elliptic pseudo-differential operators acting on a complete Riemannian manifold, where a unimodular, locally compact group acts properly, cocompactly and isometrically. An -index formula is obtained using the heat kernel method.
Cite this article
Hang Wang, -index formula for proper cocompact group actions. J. Noncommut. Geom. 8 (2014), no. 2, pp. 393–432
DOI 10.4171/JNCG/160