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$L^2$-index formula for proper cocompact group actions

Published 22 Jun 2011 in math.AT, math.DG, math.KT, and math.OA | (1106.4542v4)

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

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