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MR647808 58G12 (22E27 22E45 22E46 43A25 46L99 55R50)
Connes, Alain; Moscovici, Henri The $L\sp{2}$-index theorem for homogeneous spaces of Lie groups. Ann. of Math. (2) 115 (1982), no. 2, 291–330.
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