Universal lattices and property tau

Inventiones Mathematicae

Volumn 165, Issue 1, 2006, Pages 209-224

  Kassabov, Martin ^a   Nikolov, Nikolay ^b  

^a Department of Obstetrics Gynecology   (United States)

^b NEW COLLEGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33744540790     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00222-005-0498-0     Document Type: Article

References (22)

1. Bass, H.: Algebraic K-theory. New York, Amsterdam: W.A. Benjamin, Inc. 1968
2. 2n (n ≥ 2). Publ. Math., Inst. Hautes Étud. Sci. 33, 59-137 (1967)
3. n(script o sign). Am. J. Math. 105, 673-687 (1983)
4. 2 of radical ideals and semi-local rings revisited. In: Algebraic K-theory, II: "Classical" algebraic K-theory and connections with arithmetic (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972), pp. 281-303. Lect. Notes Math., vol. 342. Berlin: Springer 1973
5. 2 of discrete valuation rings. Adv. Math. 18, 182-238 (1975)
6. Dennis, R.K., Vaserstein, L.N.: On a question of M. Newman on the number of commutators. J. Algebra 118, 150-161 (1988)
7. Gromov, M.: Random walk in random groups. Geom. Funct. Anal. 13, 73-146 (2003)
8. 2(k[x, y]). Isr. J. Math. 86, 157-193 (1994)
9. n(ℤ). Int. J. Algebra Comput. 15, 971-995 (2005)
10. Kassabov, M.: Universal lattices and unbounded rank expanders. Accepted for publication in Invent. Math.
11. Každan, D.A.: On the connection of the dual space of a group with the structure of its closed subgroups. Funkts. Anal. Prilozh. 1, 71-74 (1967)
12. n (k〈t〉). J. Pure Appl. Algebra 141, 175-183 (1999)
13. Lubotzky, A.: Discrete groups, expanding graphs and invariant measures. Prog. Math., vol. 125. Basel: Birkhäuser 1994
14. Lubotzky, A., Żuk, A.: On property τ. In preparation
15. Milnor, J.: Introduction to algebraic K-theory. Princeton, NJ: Princeton University Press 1971
16. Quillen, D.: Higher algebraic K-theory. I. In: Algebraic K-theory, I: Higher K-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972), pp. 85-147. Lect. Notes Math., vol. 341. Berlin: Springer 1973
17. Shalom, Y.: Bounded generation and Kazhdan's property (T). Publ. Math., Inst. Hautes Étud. Sci. 90, 145-168 (1999)
18. 2 and related functors. Trans. Am. Math. Soc. 178, 165-191 (1973)
19. Suslin, A.A.: The structure of the special linear group over rings of polynomials. Izv. Akad. Nauk SSSR Ser. Mat. 41, 235-252, 477 (1977)
20. Vaserstein, L.N.: On the stabilization of the general linear group over a ring. Math. USSR Sb. 8, 383-400 (1969)
21. Zariski, O., Samuel, P.: Commutative algebra, vol. II. New York: Springer 1975
22. Zuk, A.: Property (T) and Kazhdan constants for discrete groups. Geom. Funct. Anal. 13, 643-670 (2003)