Isomorphism conjectures in algebraic 𝐾-theory

Farrell, F. T. ; Jones, L. E.

Journal of the American Mathematical Society, Tome 06 (1993) no. 2, pp. 249-297

Détail

DOI : 10.1090/S0894-0347-1993-1179537-0

Bibliographie

[1] Anderson, Douglas R., Hsiang, W. C. The functors 𝐾₋ᵢ and pseudo-isotopies of polyhedra Ann. of Math. (2) 1977 201 223

[2] Ballmann, Werner, Gromov, Mikhael, Schroeder, Viktor Manifolds of nonpositive curvature 1985

[3] Bass, Hyman Algebraic 𝐾-theory 1968

[4] Baum, Paul, Connes, Alain 𝐾-theory for discrete groups 1988 1 20

[5] Baum, Paul, Connes, Alain Chern character for discrete groups 1988 163 232

[6] Browder, William Manifolds with 𝜋₁ Bull. Amer. Math. Soc. 1966 238 244

[7] Burghelea, D., Lashof, R. Stability of concordances and the suspension homomorphism Ann. of Math. (2) 1977 449 472

[8] Cappell, Sylvain E. Manifolds with fundamental group a generalized free product. I Bull. Amer. Math. Soc. 1974 1193 1198

[9] Carter, David W. Lower 𝐾-theory of finite groups Comm. Algebra 1980 1927 1937

[10] Connolly, Frank, Koźniewski, Tadeusz Finiteness properties of classifying spaces of proper Γ-actions J. Pure Appl. Algebra 1986 17 36

[11] Cooke, George E., Finney, Ross L. Homology of cell complexes 1967

[12] Farrell, F. T., Hsiang, W. C. Manifolds with 𝜋ᵢ Amer. J. Math. 1973 813 848

[13] Farrell, F. T., Hsiang, W. C. Addendum to: “On Novikov’s conjecture for cocompact subgroups of a Lie group” [Algebraic topology, Aarhus 1982, 38–48, Lecture Notes in Math., 1051, Springer, Berlin, 1984 Topology Appl. 1987 93 95

[14] Farrell, F. T., Jones, L. E. Foliated control theory. I, II 𝐾-Theory 1988 357 430

[15] Farrell, F. T., Jones, L. E. A topological analogue of Mostow’s rigidity theorem J. Amer. Math. Soc. 1989 257 370

[16] Farrell, F. T., Jones, L. E. The surgery 𝐿-groups of poly-(finite or cyclic) groups Invent. Math. 1988 559 586

[17] Farrell, F. T., Jones, L. E. 𝐾-theory and dynamics. I Ann. of Math. (2) 1986 531 569

[18] Farrell, F. T., Jones, L. E. Algebraic 𝐾-theory of spaces stratified fibered over hyperbolic orbifolds Proc. Nat. Acad. Sci. U.S.A. 1986 5364 5366

[19] Farrell, F. T., Jones, L. E. Algebraic 𝐾-theory of discrete subgroups of Lie groups Proc. Nat. Acad. Sci. U.S.A. 1987 3095 3096

[20] Farrell, F. T., Jones, L. E. A topological analogue of Mostow’s rigidity theorem J. Amer. Math. Soc. 1989 257 370

[21] Farrell, F. T., Jones, L. E. Computations of stable pseudoisotopy spaces for aspherical manifolds 1991 59 74

[22] Farrell, F. T., Jones, L. E. Stable pseudoisotopy spaces of compact non-positively curved manifolds J. Differential Geom. 1991 769 834

[23] Gersten, S. M. On the spectrum of algebraic 𝐾-theory Bull. Amer. Math. Soc. 1972 216 219

[24] Hatcher, A. E. Concordance spaces, higher simple-homotopy theory, and applications 1978 3 21

[25] Hsiang, Wu Chung Geometric applications of algebraic 𝐾-theory 1984 99 118

[26] James, I. M. Ex-homotopy theory. I Illinois J. Math. 1971 324 337

[27] Kirby, Robion C., Siebenmann, Laurence C. Foundational essays on topological manifolds, smoothings, and triangulations 1977

[28] Mostow, G. D. Equivariant embeddings in Euclidean space Ann. of Math. (2) 1957 432 446

[29] Nicas, Andrew J. On the higher Whitehead groups of a Bieberbach group Trans. Amer. Math. Soc. 1985 853 859

[30] Nicas, Andrew J. Induction theorems for groups of homotopy manifold structures Mem. Amer. Math. Soc. 1982

[31] Pedersen, Erik K., Weibel, Charles A. A nonconnective delooping of algebraic 𝐾-theory 1985 166 181

[32] Palais, Richard S. Imbedding of compact, differentiable transformation groups in orthogonal representations J. Math. Mech. 1957 673 678

[33] Raghunathan, M. S. Discrete subgroups of Lie groups 1972

[34] Ranicki, A. A. Algebraic 𝐿-theory. I. Foundations Proc. London Math. Soc. (3) 1973 101 125

[35] Sullivan, Dennis Geometric periodicity and the invariants of manifolds 1971 44 75

[36] Selberg, Atle On discontinuous groups in higher-dimensional symmetric spaces 1960 147 164

[37] Quillen, Daniel Higher algebraic 𝐾-theory. I 1973 85 147

[38] Quinn, Frank A geometric formulation of surgery 1970 500 511

[39] Quinn, Frank Ends of maps. II Invent. Math. 1982 353 424

[40] Quinn, Frank Algebraic 𝐾-theory of poly-(finite or cyclic) groups Bull. Amer. Math. Soc. (N.S.) 1985 221 226

[41] Quinn, Frank Applications of topology with control 1987 598 606

[42] Wagoner, J. B. Delooping classifying spaces in algebraic 𝐾-theory Topology 1972 349 370

[43] Waldhausen, Friedhelm Algebraic 𝐾-theory of generalized free products. I, II Ann. of Math. (2) 1978 135 204

[44] Waldhausen, Friedhelm Algebraic 𝐾-theory of topological spaces. I 1978 35 60

[45] Wall, C. T. C. Surgery on compact manifolds 1970

[46] Yamasaki, Masayuki 𝐿-groups of crystallographic groups Invent. Math. 1987 571 602

[47] Zassenhaus, Hans Über einen Algorithmus zur Bestimmung der Raumgruppen Comment. Math. Helv. 1948 117 141

[48] Weibel, C. A. Mayer-Vietoris sequences and module structures on 𝑁𝐾_{∗} 1981 466 493