@article{ASENS_1988_4_21_4_479_0, author = {Rosenberg, Jonathan and Weinberger, Samuel}, title = {Higher $G$-indices and applications}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {21}, year = {1988}, pages = {479-495}, doi = {10.24033/asens.1565}, mrnumber = {90f:58170}, zbl = {0693.58024}, language = {en}, url = {http://dml.mathdoc.fr/item/ASENS_1988_4_21_4_479_0} }
Rosenberg, Jonathan; Weinberger, Samuel. Higher $G$-indices and applications. Annales scientifiques de l'École Normale Supérieure, Tome 21 (1988) pp. 479-495. doi : 10.24033/asens.1565. http://gdmltest.u-ga.fr/item/ASENS_1988_4_21_4_479_0/
[1] Semifree Finite Group Actions on Compact Manifolds, in Algebraic and Geometric Topology (Proceedings, Rutgers 1983), A. RANICKI, N. LEVITT and F. QUINN Eds., Lecture Notes in Math., No. 1126, Springer, Berlin and New York, 1985, pp. 1-21. | MR 87d:57028 | Zbl 0566.57023
and ,[2] Spin-Manifolds and Group Actions, in Essays on Topology and Related Topics : Mémoires dédiées à Georges de Rham, A. HAEFLIGER and R. NARASIMHAN Eds., Springer, New York and Heidelberg, 1970, pp. 18-28. | MR 43 #4064 | Zbl 0193.52401
and ,[3] Equivariant K-Theory and Completion (J. Differential Geometry, Vol. 3, 1969, pp. 1-18). | MR 41 #4575 | Zbl 0215.24403
and ,[4] The Index of Elliptic Operators, III (Ann. of Math., Vol. 87, 1968, pp. 546-604). | MR 38 #5245 | Zbl 0164.24301
and ,[5] Scalar Curvature and Isometry Group in Proc. Franco-Japanese Seminar on Riemannian Geometry, Kyoto, 1981 (to appear).
,[6] Introduction to Compact Transformation Groups, Academic Press, New York, 1972. | MR 54 #1265 | Zbl 0246.57017
,[7] G-Actions and the Fundamental Group (Invent. Math., Vol. 65, 1982, pp. 411-424). | MR 83d:57026 | Zbl 0519.57034
and ,[8] On Homotopy Invariance of Higher Signatures (Invent. Math., Vol. 33, 1976, pp. 171-179). | MR 55 #11264 | Zbl 0335.57007
,[9] Differentiable Periodic Maps, 2nd ed., Lecture Notes in Math., No. 738, Springer, New York and Heidelberg, 1979. | MR 81f:57018 | Zbl 0417.57019
,[10] K-théorie bivariante de Kasparov [Séminaire Bourbaki, 1982-1983, exposé No. 605 (Astérisque, No. 105-106, 1983, pp. 149-166)]. | Numdam | MR 86f:46075 | Zbl 0542.46039
,[11] Sur la conjecture de Novikov, in Index Theory of Elliptic Operators, Foliations, and Operator Algebras, J. KAMINKER, K. MILLETT, and C. SCHOCHET Eds., Contemp. Math., Vol. 70, Amer. Math. Soc., Providence, 1988, pp. 43-102. | MR 90e:58150 | Zbl 0658.57013
,[12] The Signature Operator of Lipschitz Manifolds and Unbounded Kasparov Bimodules, in Operator Algebras and their Connections with Topology and Ergodic Theory [Proc. Conf. at Busteni, Romania, 1983, H. ARAKI et al., Eds. (Lecture Notes in Math., No. 1132, Springer, Berlin and New York, 1985, pp. 254-288)]. | MR 87d:58133 | Zbl 0602.46069
,[13] Homotopy Invariance of the Analytic Index of Signature Operators Over C*-Algebras (J. Operator Theory, Vol. 14, 1985, pp. 113-127). | MR 87b:58082 | Zbl 0614.46062
and ,[14] The Operator K-Functor and Extensions of C*-Algebras (Izv. Akad. Nauk S.S.S.R., Ser. Mat., Vol. 44, 1980, pp. 571-636 = Math. U.S.S.R.-Izv., 16, 1981, pp. 513-572). | MR 81m:58075 | Zbl 0464.46054
,[15] Operator K-Theory and its Applications : Elliptic Operators, Group Representations, Higher Signatures, C*-Extensions, in Proc. International Congress of Mathematicians, Warsaw, 1983, Polish Scientific Publishers, Warsaw, Vol. 2, 1984, pp. 987-1000. | MR 87c:58119 | Zbl 0571.46047
,[16] Equivariant KK-Theory and the Novikov Conjecture (Invent. Math., Vol. 91, 1988, pp. 147-201). | MR 88j:58123 | Zbl 0647.46053
,[17] Circle Actions on Spin Manifolds and Characteristic Numbers, (Topology, Vol. 27, 1988, pp. 145-161). | MR 90a:57040 | Zbl 0647.57013
and ,[18] Scalar Curvature, Non-Abelian Group Actions and the Degree of Symmetry of Exotic Spheres (Comm. Math. Helv., Vol. 49, 1974, pp. 232-244). | MR 50 #11300 | Zbl 0297.57016
, and ,[19] Homotopy Invariants of Nonsimply Connected Manifolds, I : Rational Invariants (Izv. Akad. Nauk S.S.S.R., Ser. Mat., Vol. 34, 1970, pp. 501-514 = Math. U.S.S.R.-Izv., Vol. 4, 1970, pp. 506-519). | Zbl 0232.55015
,[20] Hermitian K-Theory : the Theory of Characteristic Classes and Methods of Functional Analysis (Usp. Mat. Nauk., Vol. 31, 1976, No. 2, pp. 69-134 = Russian Math. Surveys, Vol. 31, No. 2, 1976, pp. 71-138). | Zbl 0427.55001
,[21] The Index of Elliptic Operators Over C*-Algebras (Izv. Akad. Nauk S.S.S.R., Ser. Mat., Vol. 43, 1979, pp. 831-859 = Math. U.S.S.R.-Izv., Vol. 15, 1980, pp. 87-112). | Zbl 0448.46039
and ,[22] Exact Sequences in the Algebraic Theory of Surgery (Mathematical Notes, No. 26, Princeton Univ. Press, Princeton, 1981). | MR 82h:57027 | Zbl 0471.57012
,[23] C*-Algebras, Positive Scalar Curvature, and the Novikov Conjecture (Publ. Math. I.H.E.S., No. 58, 1983, pp. 197-212). | Numdam | MR 85g:58083 | Zbl 0526.53044
,[24] | Zbl 0658.53039
, Ibid., II, in Proc. U.S.-Japan Seminar on Geometric Methods in Operator Algebras, Kyoto, 1983, H. ARAKI and E. G. EFFROS Eds. (Pitman Res. Notes in Math., No. 123, Longman/Wiley, Harlow and New York, 1986, pp. 341-374).[25] | MR 88f:58141 | Zbl 0605.53020
, Ibid., III (Topology, Vol. 25, 1986, pp. 319-336).[26] A Relation Between Group Actions and Index, in Proc. Conf. on Transformation Groups, New Orleans, LA, 1967, Springer, New York, 1968, pp. 349-350. | MR 41 #4578 | Zbl 0182.57502
,[27] Equivariant K-Theory (Publ. Math. I.H.E.S., No. 34, 1968, pp. 129-151). | Numdam | MR 38 #2769 | Zbl 0199.26202
,[28] The Index of the Signature Operator on Lipschitz Manifolds (Publ. Math. I.H.E.S., No. 58, 1983, pp. 39-78). | Numdam | MR 85f:58112 | Zbl 0531.58044
,[29] The Index Theorem for Topological Manifolds (Acta Math., Vol. 153, 1984, pp. 117-152). | MR 86c:58137 | Zbl 0547.58036
,[30] On Simply-Connected 4-Manifolds (J. London Math. Soc., Vol. 39, 1964, pp. 141-149). | MR 29 #627 | Zbl 0131.20701
,[31] Group Actions and Higher Signatures (Proc. Nat. Acad. Sci. U.S.A., Vol. 82, 1985, pp. 1297-1298). | MR 88g:57044 | Zbl 0569.57027
,[32] Group Actions and Higher Signatures, II (Comm. Pure Appl. Math., Vol. 40, 1987, pp. 179-187). | MR 88k:57042 | Zbl 0647.57012
,