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The $L^2$-index theorem for homogeneous spaces
Author(s):
Alain
Connes;
Henri
Moscovici
Journal:
Bull. Amer. Math. Soc.
1
(1979),
688-690.
MSC (1970):
Primary 22E45, 58G10;
Secondary 22D25, 53C30, 57D30
MathSciNet review:
532554
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Additional information
References:
- 1.
- M. F. Atiyah, Elliptic operators, discrete groups and von Neumann algebras, Asterisque 32/33 (1976), 43-72. MR 420729
- 2.
- M. F. Atiyah and I. M. Singer, The index of elliptic operators. I, III, Ann. of Math. (2) 87 (1968), 484-530; 546-609. MR 236950
- 3.
- M. F. Atiyah and W. Schmid, A geometric construction of the discrete series for semisimple Lie groups, Invent. Math. 42 (1977), 1-62. MR 463358
- 4.
- A. Connes, Sur la theorie non commutative de l'integration, Lecture Notes in Math. 1979 (to appear).
- 5.
- H. Moscovici and A. Verona, Harmonically induced representations of nilpotent Lie groups, Invent. Math. 48 (1978), 61-73. MR 508089
- 6.
- W. Schmid, L2-cohomology and the discrete series, Ann. of Math. (2) 103 (1976), 375-394. MR 396856
- 7.
- I. Singer, Some remarks on operator theory and index theory, Lecture notes in Math., vol. 575, Springer-Verlag, Berlin and New York, 1977. MR 467848
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(1970):
22E45, 58G10, 22D25, 53C30, 57D30
Additional Information:
DOI:
10.1090/S0273-0979-1979-14670-6
PII:
S 0273-0979(1979)14670-6
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