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

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

2011-06-22

arxiv.org/abs/1106.4542v3

Mathematics

Algebraic Topology

31 pages, typos corrected, formatted, several mistakes corrected, introduction enriched. Thank all my friends (old and new) wh

Scientific paper

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 $L^2$-index formula was obtained
using the heat kernel method.

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