Geometry of growth: Approximation theorems for L2 invariants

Mathematische Annalen

Volumn 311, Issue 2, 1998, Pages 335-375

  Farber, Michael ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032393327     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002080050190     Document Type: Article

References (27)

1. [A] M.F. Atiyah, Elliptic operators, discrete groups and von Neumann algebras, Asterisque 32, 33 (1976), 43-72.
2. [BFKM] D. Burghelea, L. Friedlander, T. Kappeler and P. McDonald, Analytic and Reidemeister torsion for representations in finite type Hilbert modules GAFA 6:5. (1996).
3. [BFK] D. Burghelea, L. Friedlander, T. Kappeler, Torsion for manifolds with boundary and glueing formulas, Preprint (1996).
4. 2-torsion, Journal für reine und angewandte Mathematik 184 (1997), 153-181.
5. A. Connes, Noncommutative geometry, Academic Press, 1994.
6. [CR] C.W. Curtis, I. Reiner, Methods of representation theory, 1, John Wiley & sons, 1981.
7. J. Dixmier, Existence de traces non normales, C.R. Acad. Sci. Paris, ser. A-B 262 (1966), A1107-A1108.
8. J. Dixmier, Von Neumann algebras, North-Holland, 1969.
9. 2-invariants of amenable coverings: a combinatorial approach, dg-ga/9609003
10. 2 cohomology, Preprint dg-ga/9610016 (1996). To appear in J. of K-theroy.
11. [Fl] M. Farber, Homological algebra of the Novikov-Shubin invariants and Morse inequalities, GAFA 6:4 (1996), 628-665.
12. [Fr] A. Fröhlich, Classgroups and Hermitian Modules, Birkhäuser, 1984.
13. [FT] A. Fröhlich, M.J. Taylor, Algebraic number theory, Cambridge Univ. Press, 1991.
14. [G] R. Godement, Théorie des caractères. I, II, Ann. Math. 59 (1954), 47-62, 63-85.
15. [Gi] M. Gromov, Asymptotic invariants of infinite groups, vol. 182, London Math. Society, Lect. Notes Series, 1993.
16. [GS] M. Gromov and M.A. Shubin, Von Neumann spectra near zero, GAFA 1 (1991), 375-404.
17. [H] R. Hartshorne, Algebraic geometry, Springer-Verlag, 1977.
18. [K] M. Karoubi, K-theory; an introduction., Springer-Verlag, 1978.
19. [Ka] D. Kazhdan, On arithmetic varieties, in: Lie groups and their representations (1975), 151-216.
20. [La] S. Lang, Algebra, Addison-Wesley Publishing Co., 1967.
21. 2-invariants by their finite dimensional analogues, GAFA 4 (1994), 455-481.
22. [N] M.A. Naimark, Normed algebras, Wolters-Noordhoff Publishing Groningen, 1972.
23. [NS] S.P. Novikov and M.A. Shubin, Morse inequalities and von Neumann invariants of non-simply connected manifolds, Uspehi Matem. Nauk 41 (1986), 222.
24. 1-factors, Doklady Akad. Nauk SSSR 289 (1986), 289-292.
25. [vN] J. von Neumann, Zur allgemeinen Theorie des Masses, Fundamenta mathemeticae 13 (1929), 73-116.
26. [Sh] A.B. Shidlovskii, Transcendental numbers, de Gruyter Studies in Mathematics, 1989.
27. [T] M. Takesaki, Theory of operator algebras, I, Springer-Verlag, 1979.