Integrality of L2-Betti numbers

Mathematische Annalen

Volumn 317, Issue 4, 2000, Pages 727-750

  Schick, Thomas ^a  

^a UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034422251     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004421     Document Type: Article

References (28)

1. Atiyah, M.: Elliptic operators, discrete groups and von Neumann algebras, Astérisque 32, 43-72 (1976)
2. Bass, H.: Covering theory for graphs of groups, J. Pure Appl. Algebra 89, 3-47 (1993)
3. Baumslag, G.: Residually free groups, Proc. of LMS 17, 402-418 (1967)
4. Baumslag, G.: On the residual nilpotence of certain one-relator groups, Commun. on Pure and Applied Math. 21, 491-506 (1968)
5. Baumslag, Gilbert: Positive one-relator groups, Transactions of the AMS 156, 165-183 (1971)
6. 2-Betti Zahlen und Faserungen, Diplomarbeit, University of Mainz, http:///wwwmath.uni-muenster.de/u/lueck/publ/diplome/bratzler.dvi (1997)
7. Dicks, W. and Dunwoody, M.J.: Groups acting on graphs, No. 17 in Cambridge studies in Advanced Mathematics, Cambridge University Press (1989)
8. Dicks, W. and Kropholler, P.: Free groups and almost equivariant maps, Bull. of the London Math. Soc. 27, 319-326 (1995)
9. Dicks, W. and Schick, T.: Graphs of groups and the Atiyah conjecture for one-relator groups, preprint, SFB 418 Münster (2000)
10. Gruenberg, K.W.: Residual properties of infinite soluble groups, Proc. of LMS 7, 29-62 (1957)
11. p) and the action on the associated tree, J. of Functional Analysis 58, 194-215 (1984)
12. Kropholler, P.H., Linnell, P.A., and Moody, J.A.: Applications of a new K-theoretic theorem to soluble group rings, Proc. of the AMS 104, 675-684 (1988)
13. 2(G), C. R. Acad. Sci. Paris Sér I Math. 315, 49-53 (1992)
14. Linnell, P.: Division rings and group von Neumann algebras, Forum Math. 5, 561-576 (1993)
15. Linnell, P.: Analytic versions of the zero divisor conjecture, in: Geometry and Cohomology in Group Theory, vol. 252 of London Math. Soc. Lecture Note Series, 209-248. Cambridge University Press (1998)
16. Linnell, P. and Schick, T.: Atiyah's conjecture, limits, and algebraic coefficients, in preparation
17. Linnell, P. and Schick, T.: Finite group extensions and the Atiyah conjecture, preprint, SFB 418 Münster (2000)
18. 2-invariants of regular coverings of compact manifolds and CW-complexes, to appear in "Handbook of Geometry", Elsevier (1998)
19. Lyndon, R.C. and Schupp, P.E.: Combinatorial Group Theory, vol. 89 of Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer (1977)
20. Magnus, W.: Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring, Math. Annalen 111, 259-280 (1935)
21. 0 of certain infinite groups, Journal of Algebra 122, 1-14 (1989)
22. Reich, H.: Group von Neumann algebras and related algebras, Dissertation, Universität Göttingen (1999)
23. Rotman, J.J.: An Introduction to the Theory of Groups, vol. 148 of Graduate Texts in Mathematics, Springer (1994)
24. Rowen, L.: Ring Theory, Volume II, vol. 128 of Pure and Applied Mathematics, Academic Press (1988)
25. 2-Betti numbers, preprint, SFB 418 Münster 1998, to appear in Transactions of the AMS
26. Strebel, Ralph: Homological methods applied to the derived series of groups, Comm. Math. Helv. 49, 302-332 (1974)
27. Swan, R.G.: Algebraic K-theory, vol. 76 of Lecture notes in mathematics, Springer (1968)
28. Wolf, J.A.: Spaces of constant curvature. Publish or Perish, 5th edn. (1984)