Residual amenability and the approximation of L2-invariants

Michigan Mathematical Journal

Volumn 46, Issue 2, 1999, Pages 331-346

  Clair, Bryan ^a  

^a CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040531556     PISSN: 00262285     EISSN: None     Source Type: Journal    
DOI: 10.1307/mmj/1030132414     Document Type: Article

References (23)

1. G. Baumslag and D. Solitar, Some two-generator one-relator non-Hopfian groups, Bull. Amer. Math Soc. 68 (1962), 199-201.
2. K. Brown, Cohomology of groups. Graduate Texts in Math., 87, Springer-Verlag, Berlin, 1982.
3. D. Burghelea, L. Friedlander, and T. Kappeler, Torsion for manifolds with boundary and gluing formulas, IHES preprint (dg-ga/9510010), 1996 (to appear in Math. Nachr.).
4. D. Burghelea, L. Friedlander, T. Kappeler, and P. McDonald, Analytic and Reidemeister torsion for representations infinite type Hilbert modules, Geom. Funct. Anal. 6 (1996), 751-897.
5. 2 torsion, J. Reine Angew. Math. 484 (1997), 153-181.
6. 2 torsion invariants, J. Funct. Anal. 110 (1992), 377-409.
7. 2-invariants, Ph.D. thesis, Univ. of Chicago, June 1998.
8. 2-invariants of amenable covering spaces: A combinatorial approach, J. Funct. Anal. 154 (1998), 359-378.
9. 2 invariants, Math. Ann. 311 (1998), 335-375.
10. M. Gromov, Asymptotic invariants of infinite groups, Lecture Notes in Math., 182, Springer-Verlag, Berlin, 1993.
11. M. Gromov and M. A. Shubin, Von Neumann spectra near zero, Geom. Funct. Anal. 1 (1991), 375-404.
12. D. Kazhdan, On arithmetic varieties, Lie groups and their representations, pp. 151-216, Halsted, New York, 1975.
13. P. Kropholler, Baumslag-Solitar groups and some other groups of cohomological dimension two, Comment. Math. Helv. 65 (1990), 547-558.
14. J. Lott, Heat kernels on covering spaces and topological invariants, J. Differential Geom. 35 (1992), 471-510.
15. 2-invariants by their finite dimensional analogues, Geom. Funct. Anal. 4 (1994), 455-481.
16. W. Lück and M. Rothenberg, Reidemeister torsion and the K-theory of von Neumann algebras, K-Theory 5 (1991), 213-264.
17. W. Magnus, Residually finite groups, Bull. Amer. Math. Soc. 75 (1969), 305-316.
18. 2 analytic torsion, J. Funct. Anal. 107 (1992), 369-386.
19. 2 torsion for covering spaces, Proc. Amer. Math. Soc. 126 (1998), 887-897.
20. S. Meskin, Nonresidually finite one-relator groups, Trans. Amer. Math. Soc. 164 (1972), 105-114.
21. A. Paterson, Amenability, Math. Surveys Monographs, 29, Amer. Math. Soc., Providence, RI, 1988.
22. E. Raptis and D. Varsos, Residual properties of HNN-extensions with base group an abelian group, J. Pure Appl. Algebra 59 (1989), 285-290.
23. E. A. Scott, A tour around finitely presented infinite simple groups, Algorithms and classification in combinatorial group theory (Berkeley, 1989), pp. 83-119, Springer-Verlag, New York, 1992.