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Eta-invariants and von Neumann algebras
Author(s):
R. G.
Douglas;
S.
Hurder;
J.
Kaminker
Journal:
Bull. Amer. Math. Soc.
21
(1989),
83-87.
MSC (1985):
Primary 58G10, 46L80, 57R30
MathSciNet review:
979832
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References |
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Additional information
References:
- [A 1] M. F. Atiyah, Elliptic operators, discrete groups and von Neumann algebras, Astérisque 32-33 (1976), 43-72. MR 420729
- [A 2] M. F. Atiyah, Transversally elliptic operators and compact groups, Lecture Notes in Math., vol. 401, Springer-Verlag, Berlin and New York, 1974. MR 482866
- [APS 1] M. F. Atiyah, V. K. Patodi and I. M. Singer, Spectral asymmetry and Riemannian geometry. I, Math. Proc. Cambridge Philos. Soc. 77 (1976), 43-69. MR 397797
- [APS 2] M. F. Atiyah, V. K. Patodi and I. M. Singer, Spectral asymmetry and Riemannian geometry. III, Math. Proc. Cambridge Philos. Soc. 79 (1976), 71-99. MR 397799
- [AS] M. F. Atiyah and I. M. Singer, Index theory for skew-adjoint Fredholm operators, Publ. Math. Inst. Hautes Études Sci. 37 (1969), 305-326.
- [CG] J. Cheeger and M. Gromov, On the characteristic numbers of complete manifolds of bounded curvature and finite volume, Differential Geometry and Complex Analysis, dedicated to H. E. Rauch (I. Chavel and H. M. Farkas, eds.), Springer-Verlag, Berlin and New York, 1985. MR 780040
- [CD] L. Coburn and R. G. Douglas, On C* -algebras of operators on a half-space. I: Index theory, Publ. Math. Inst. Hautes Études Sci. 40 (1971), 59-67. MR 358417
- [CDSS] L. Coburn, R. G. Douglas, R. G. Schaeffer, and I. M. Singer, C*-algebras of operators on a halfspace. II: Index theory, Publ. Math. Inst. Hautes Études Sci. 40 (1971), 69-79.
- [C 1] A. Connes, The von Neumann algebra of a foliation, Lecture Notes in Physics, vol. 80, Springer-Verlag, Berlin and New York, 1978, pp. 145-151. MR 518430
- [C 2] A. Connes, Non-commutative differential geometry, I.- The Chern character in K-homology, Publ. Math. Inst. Hautes Études Sci. 62 (1986), 257-309.
- [D] R. G. Douglas, Elliptic invariants for differential operators, Proc. Weyl Symposium, Durham, N.C., 1987. MR 974341
- [DHK 1] R. G. Douglas, S. Hurder and J. Kaminker, The eta-invariant, foliation algebras and cyclic cocycles, Math. Sci. Res. Inst., Berkeley, preprint, 1985. MR 948687
- [DHK 2] R. G. Douglas, S. Hurder and J. Kaminker, Toeplitz operators and the eta-invariant: the case of S1, Contemporary Math., vol. 19, Amer. Math. Soc. Providence, R.I., 1988, pp. 11-41. MR 948687
- [DHK 3] R. G. Douglas, S. Hurder and J. Kaminker, Cyclic cocycles, renormalization and eta-invariants, Univ. of III., Preprint, 1988. MR 1079841
- [DHK 4] R. G. Douglas, S. Hurder and J. Kaminker, The longitudinal cocycle and the index of Toeplitz operators, I.U.-P.U.@I. Preprint, 1988. MR 1132311
- [H1] S. Hurder, Eta-invariants and the index theorem for coverings, Univ. of III., Preprint, 1988.
- [H 2] S. Hurder, Analysis and geometry of foliations, Research Monograph, Univ. of Colorado prepublication.
- [S 1] I. M. Singer, Some remarks on operator theory and index theory, Lecture Notes in Math., vol. 575, Springer-Verlag, Berlin and New York, 1977, pp. 128-138. MR 467848
- [S 2] I. M. Singer, Recent applications of index theory for elliptic operators, Proc. Sympos. Pure Math., vol. 23, Amer. Math. Soc. Providence, R.I., 1971, pp. 11-31. MR 341538
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Additional Information:
DOI:
10.1090/S0273-0979-1989-15769-8
PII:
S 0273-0979(1989)15769-8
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