K-theoretic index theorems for elliptic and transversally elliptic operators, Journal of K-theory, to appear.

(With G. Yu). Groups with coarse positive duality and the Novikov conjecture, preprint, 2005. PDF

 

(With G. Yu). The coarse geometric Novikov conjecture and uniform convexity. Advances in Math., 206 (2006), 1-56.

(With G. Skandalis). Groups acting properly on "bolic'' spaces and the Novikov conjecture. Annals of Math. (2), 158 (2003), 165-206.

(With N. Higson). E-theory and KK-theory for groups which act properly and isometrically on Hilbert space. Inventiones Math., 144 (2001), 23-74.

(With N. Higson and J. Trout). A Bott periodicity theorem for infinite dimensional Euclidean space. Advances in Math., 135 (1998), 1-40.
 
(With N. Higson). Operator K-theory for groups which act properly and isometrically on Hilbert space. Electronic Research Announcements of the Amer. Math. Soc., 3 (1997), 131-142.

K-theory, group C^{*-algebras, and higher signatures. (Conspectus). In: Novikov Conjectures, Index Theorems and Rigidity, eds.: S. C. Ferry, A. Ranicki, J. Rosenberg, Cambridge Univ. Press, 1995, v. 1 (London Math. Soc. Lect. Notes Series, v. 226), p.p. 101-146.

(With P. Julg). Operator K-theory for the group SU(n,1). J. Reine Angew. Math., 463 (1995), 99-152.

(With G. Skandalis). Groupes ''boliques'' et conjecture de Novikov. Compt. Rend. Acad. Sci. Paris, 319 (1994), Ser. I, 815-820.

Novikov's conjecture on higher signatures: The operator K-theory approach. Contemporary Math., 145 (1993), 79-99.

Relative K-homology and K-homology of an ideal. K-theory, 5 (1991), 47-49.

(With P. Julg). L'anneau KK_G( C, C) pour G=SU(n,1). Compt. Rend. Acad. Sci. Paris, 313 (1991), Ser. I, 259-264.

(With G.Skandalis). Groups acting on buildings, operator K-theory, and Novikov's conjecture. K-theory, 4 (1991), 303-337.

(With G. Skandalis). Groupes agissant sur des immeubles de Bruhat-Tits, K-theorie operatorielle et conjecture de Novikov. Compt. Rend. Acad. Sci. Paris, 310, Ser. I, 171-174 (1990).

Equivariant KK-theory and the Novikov conjecture. Inventiones Mathematicae, 91 (1988), 147-201.

(With N. V. Gorbachev). On extensions related with group C^*-algebras. Uspekhi Matem. Nauk, 40, no. 2 (1985), 173-174; English translation: Russian Mathematical Surveys, 40, no. 2 (1985), 213-214.

Operator K-theory and its applications. In: Itogy Nauki i Tekhniki, Ser. Sovremennye Problemy Matematiki, v.27, pp. 3-31. Moscow: VINITI 1985.

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Lorentz groups: K-theory of unitary representations and crossed products. Dokl. Akad. Nauk SSSR, 275 (1984), 541-545; English translation: Soviet Mathematics - Doklady, 29 (1984), 256-260.

The index of invariant elliptic operators, K-theory, and Lie group representations. Dokl. Akad. Nauk SSSR, 268 (1983), 533-537; English translation: Soviet Mathematics - Doklady, 27 (1983), 105-109.

The operator K-functor and extensions of C^*-algebras. Izvestiya Akad. Nauk SSSR, Ser. Matem., 44 (1980), 571-636; English translation: Mathematics USSR - Izvestiya, 16 (1981), 513-572.

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K-functor in the theory of extensions of C^*-algebras. Funkc. Analiz i ego Prilozh. , 13, no. 4 (1979), 73-74; English translation: Functional Analysis and its Applications, 13, no. 4 (1979), 296-297.

Topological invariants of elliptic operators. I. K-homology. Izvestiya Akad. Nauk SSSR, Ser. Matem., 39 (1975), 796-838; English translation: Mathematics USSR - Izvestiya, 9 (1975), 751-792.

Generalized index of elliptic operators. Funkc. Analiz i egoPrilozh. 7, no. 3 (1973), 82-83; English translation: Functional Analysis and its Applications, 7, no. 3 (1973), 238-240.

On the homotopy invariance of rational Pontryagin numbers.  Dokl. Akad. Nauk SSSR, 190 (1970), 1022-1025; English translation: Soviet Mathematics - Doklady, 11 (1970), 235-238.

Invariants of classical lens manifolds in cobordism theory. IzvestiyaAkad. Nauk SSSR, Ser. Matem. , 33 (1969), 735-747; English translation: Mathematics USSR - Izvestiya, 3 (1969), 695-705.