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Asymptotic lipschitz cohomology and higher signatures

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References

  1. J. Alonso, Combings of groups, in “Algorithms and Classification in Combinatorial Group Theory”, MSRI Publ. 23 (1992), 165–178.

    Google Scholar 

  2. M.F. Atiyah, Elliptic operators, discrete groups and von Neumann algebras, Astérisque 32/33 (1976), 43–72.

    Google Scholar 

  3. M.F. Atiyah, R. Bott, A. Shapiro, Clifford modules, Topology 3, Suppl. 1 (1964), 3–38.

    Google Scholar 

  4. M.F. Atiyah, I.M. Singer, The index of elliptic operators I, III, Ann. of Math. 87 (1968), 484–530, 546–604.

    Google Scholar 

  5. W. Ballmann, E. Ghys, A. Haefiger, P. de la Harpe, E. Salem, R. Strebel, M. Troyanov, Sur les groupes hyperbolique d'après Mikhael Gromov, Progress in Mathematics (E. Ghys, P. de la Harpe, eds.) 83, Boston, Birkhäuser (1990).

    Google Scholar 

  6. P. Baum, R. Douglus,K theory and index theory, Operator Theory and Applications, Proc. Simp. Pure Math. 38 (I) (1982), 117–173.

    Google Scholar 

  7. P. Baum, R. Douglus, RelativeK homology andC* algebras, K Theory 5 (1991), 1–46.

    Google Scholar 

  8. B. Blackadar, K Theory for Operator Algebras, MSRI Publ. 5 (1986).

  9. A. Connes, M. Gromov, H. Moscovici, Group cohomology with Lipschitz control and higher signatures, Geometric And Functional Analysis 3 (1993), 1–78.

    Google Scholar 

  10. A. Connes, G. Scandalis, The longitudinal index theorem for foliations, Publ. Res. Inst. Math. Sci. Kyoto Univ. 20 (1984), 1139–1183.

    Google Scholar 

  11. D.B.A. Epstein, J.W. Cannon, D.F. Holt, S.V.F. Levy, M.S. Paterson, W.P. Thurston, Word Processing in Groups, Jones and Bartlett Publ (1992).

  12. M. Gromov, Asymptotic Invariants of Infinite Groups, London Math. Soc. Lecture Note Series 182 (1991).

  13. M. Gromov, Hyperbolic groups, in “Essays in Group Theory (S.M. Gersten, ed.), MSRI Publ. 8 (1987), 75–263.

    Google Scholar 

  14. M. Gromov, H.B. Lawson, Positive scalar curvature and the Dirac operators on complete Riemannian manifolds, Publ. Math IHES 58 (1983), 83–196.

    Google Scholar 

  15. G.G. Kasparov, The operatorK functor and extensions ofC* algebras, Izv. Akad. Nauk SSSR, Ser. Mat. 44 (1981), 571–636.

    Google Scholar 

  16. G.G. Kasparov, Equivariant KK theory and the Novikov conjecture, Inv. Math. 91 (1988), 147–201.

    Google Scholar 

  17. T. Kato, Thesis at Kyoto University (1995).

  18. J.W. Milnor, J.D. Stasheff, Characteristic Classes, Annals of Math. Studies 176, Princeton Univ. Press (1974).

  19. A.S. Miscenko, Homotopy invariants of non simply connected manifolds I, Izv. Akad. Nauk SSSR, Ser. Mat. 43 (1979), 831–859.

    Google Scholar 

  20. A.S. Miscenko, Infinite dimensional representations of discrete groups and higher signature, Izv. Akad. Nauk SSSR, Ser. Mat. 38 (1974), 81–106.

    Google Scholar 

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Kato, T. Asymptotic lipschitz cohomology and higher signatures. Geometric and Functional Analysis 6, 346–369 (1996). https://doi.org/10.1007/BF02247890

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