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Dranishnikov, A. N.; Gong, G.; Lafforgue, V.; Yu, G. Uniform Embeddings into Hilbert Space and a Question of Gromov. Canadian mathematical bulletin, Tome 45 (2002) no. 1, pp. 60-70. doi: 10.4153/CMB-2002-006-9
@article{10_4153_CMB_2002_006_9,
author = {Dranishnikov, A. N. and Gong, G. and Lafforgue, V. and Yu, G.},
title = {Uniform {Embeddings} into {Hilbert} {Space} and a {Question} of {Gromov}},
journal = {Canadian mathematical bulletin},
pages = {60--70},
year = {2002},
volume = {45},
number = {1},
doi = {10.4153/CMB-2002-006-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-006-9/}
}
TY - JOUR AU - Dranishnikov, A. N. AU - Gong, G. AU - Lafforgue, V. AU - Yu, G. TI - Uniform Embeddings into Hilbert Space and a Question of Gromov JO - Canadian mathematical bulletin PY - 2002 SP - 60 EP - 70 VL - 45 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-006-9/ DO - 10.4153/CMB-2002-006-9 ID - 10_4153_CMB_2002_006_9 ER -
%0 Journal Article %A Dranishnikov, A. N. %A Gong, G. %A Lafforgue, V. %A Yu, G. %T Uniform Embeddings into Hilbert Space and a Question of Gromov %J Canadian mathematical bulletin %D 2002 %P 60-70 %V 45 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-006-9/ %R 10.4153/CMB-2002-006-9 %F 10_4153_CMB_2002_006_9
[1] [1] Bekka, M. E. B., Cherix, P. A. and Valette, A., Proper affine isometric actions of amenable groups. In: Novikov Conjectures, Index Theorems and Rigidity, Vol. 2 (eds. S. Ferry, A. Ranicki and J. Rosenberg), Cambridge University Press 1995, 1–4. Google Scholar
[2] [2] Connes, A., Gromov, M. and Moscovici, H., Group cohomology with Lipschitz control and higher signatures. Geom. Funct. Anal. 3 (1993), 1–78. Google Scholar
[3] [3] Dranishnikov, A. N., On generalized amenability. Preprint IHES/M/99/61, 1999. Google Scholar
[4] [4] Dranishnikov, A. N. and Januszkiewicz, T., On Higson-Roe amenability of Coxeter groups. Topology Proceedings, to appear. Google Scholar
[5] [5] Enflo, P., On a problem of Smirnov. Ark. Mat. 8 (1969), 107–109. Google Scholar
[6] [6] Gong, G. and Yu, G., Volume growth and positive scalar curvature. Preprint, 1998. Google Scholar
[7] [7] Gromov, M., Asymptotic invariants for infinite groups. In: Geometric Group Theory (eds. G. A. Niblo and M. A. Roller), Cambridge University Press, 1993, 1–295. Google Scholar
[8] [8] Gromov, M., Problems (4) and (5). In: Novikov Conjectures, Index Theorems and Rigidity, Vol. 1 (eds. S. Ferry, A. Ranicki and J. Rosenberg), Cambridge University Press, 1995, 67. Google Scholar
[9] [9] Gromov, M., Positive curvature, macroscopic dimension, spectral gaps and higher signatures. Functional Analysis on the eve of the 21st century, Vol. 2, Progr. Math. 132 (1996), 1–213. Google Scholar
[10] [10] Higson, N. and Kasparov, G. G., Operator K-theory for groups which act properly and isometrically on Hilbert space. Electron. Res. Announc. Amer.Math. Soc. 3 (1997), 131–141. Google Scholar
[11] [11] Higson, N. and Roe, J., Amenable group actions and the Novikov conjecture. Preprint, 1998. Google Scholar
[12] [12] Manin, Y. I., A Course in Mathematical Logic. Springer-Verlag, 1977. Google Scholar
[13] [13] Roe, J., Index Theory, Coarse Geometry, and Topology of Manifolds. CBMS Regional Conf. Series in Math. 90, Amer.Math. Soc., 1996. Google Scholar
[14] [14] Sela, Z., Uniform embeddings of hyperbolic groups in Hilbert spaces. Israel J. Math. 80 (1992), 171–181. Google Scholar
[15] [15] Schoenberg, I. J., Remarks to Maurice Fréchet's article. Ann.Math. 36 (1935), 724–732. Google Scholar
[16] [16] Valiev, M. K., Examples of universal finitely presented groups. Dokl. Akad. Nauk. SSSR 211 (1973), 265–268. Google Scholar
[17] [17] Yu, G., The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space. Invent.Math. (1) 139 (2000), 201–240. Google Scholar
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