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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

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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References | Similar articles | 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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Additional Information:

DOI: 10.1090/S0273-0979-1979-14670-6
PII: S 0273-0979(1979)14670-6




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