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    L2L^2-index formula for proper cocompact group actions

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    We study the index of the GG-invariant elliptic pseudo-differential operator acting on a complete Riemannian manifold, where a unimodular, locally compact group GG acts properly and cocompactly. An L2L^2-index formula was obtained using the heat kernel method.Comment: This is the final version (34 pages
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