Mathematics – Differential Geometry
Scientific paper
1996-04-30
Mathematics
Differential Geometry
LATEX, 12 pages, Journal of Lie Theory (1996)
Scientific paper
We consider the action of a noncompact torus H on the compact quotient G/L, where G is a Lie group containing H and L is a uniform lattice in G. Using harmonic analysis on G we prove a formula relating the compact orbits of H to the action of H on the (infinite dimensional) tangential cohomology. The formula may be viewed as a Lefschetz formula or an equivariant index theorem for noncompact group actions.
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