The $L^2$-index theorem for homogeneous spaces
HTML articles powered by AMS MathViewer
- by Alain Connes and Henri Moscovici PDF
- Bull. Amer. Math. Soc. 1 (1979), 688-690
References
- M. F. Atiyah, Elliptic operators, discrete groups and von Neumann algebras, Colloque “Analyse et Topologie” en l’Honneur de Henri Cartan (Orsay, 1974) Astérisque, No. 32-33, Soc. Math. France, Paris, 1976, pp. 43–72. MR 0420729
- M. F. Atiyah and I. M. Singer, The index of elliptic operators. I, Ann. of Math. (2) 87 (1968), 484–530. MR 236950, DOI 10.2307/1970715
- Michael Atiyah and Wilfried Schmid, A geometric construction of the discrete series for semisimple Lie groups, Invent. Math. 42 (1977), 1–62. MR 463358, DOI 10.1007/BF01389783 4. A. Connes, Sur la theorie non commutative de l’integration, Lecture Notes in Math. 1979 (to appear).
- Henri Moscovici and Andrei Verona, Harmonically induced representations of nilpotent Lie groups, Invent. Math. 48 (1978), no. 1, 61–73. MR 508089, DOI 10.1007/BF01390062
- Wilfried Schmid, $L^{2}$-cohomology and the discrete series, Ann. of Math. (2) 103 (1976), no. 2, 375–394. MR 396856, DOI 10.2307/1970944
- I. M. Singer, Some remarks on operator theory and index theory, $K$-theory and operator algebras (Proc. Conf., Univ. Georgia, Athens, Ga., 1975) Lecture Notes in Math., Vol. 575, Springer, Berlin, 1977, pp. 128–138. MR 0467848
Additional Information
- Journal: Bull. Amer. Math. Soc. 1 (1979), 688-690
- MSC (1970): Primary 22E45, 58G10; Secondary 22D25, 53C30, 57D30
- DOI: https://doi.org/10.1090/S0273-0979-1979-14670-6
- MathSciNet review: 532554