An application of Ramanujan graphs to C* -algebra tensor products

Discrete Mathematics

Volumn 167-168, Issue , 1997, Pages 597-603

  Valette, Alain ^a  

^a UNIVERSITY OF NEUCHÂTEL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012925070     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(96)00260-9     Document Type: Article

References (12)

1. L. Gerritzen and M. van der Put, Schottky groups and Mumford curves, Lecture Notes in Mathematics, vol. 817 (Springer, Berlin, 1980).
2. M. Junge and G. Pisier, Bilinear forms on exact operator spaces and B(H) ⊗ B(H), Geom. Funct. Anal. 5 (1995) 329-363.
3. E. Kirchberg, On non-semi-split extensions, tensor products and exactness of group C*-algebras, Invent. Math. 112 (1993) 449-489.
4. E. Kirchberg, Commutants of unitaries in UHF algebras and functorial properties of exactness, J. Reine Angew. Math. 452 (1994) 39-77.
5. E.C. Lance, On nuclear C*-algebras, J. Funct. Anal. 12 (1973) 157-176.
6. A. Lubotzky, Discrete groups, expanding graphs and invariant measures, Progress in Mathematics, vol. 125 (Birkhäuser, Basel, 1994).
7. M. Morgenstern, Existence and explicit constructions of q + 1 regular Ramanujan graphs for every prime power q, J. Combin. Theory Ser. B 62 (1994) 44-62.
8. G. Pisier, Quadratic forms in unitary operators, preprint, Summer 1995.
9. M. Takesaki, Theory of Operator Algebras I (Springer, Berlin, 1979).
10. I.M. Vinogradov, Representation of an odd number as the sum of three primes (in Russian), Dokl. Akad. Nauk SSSR 16 (1937) 169-172.
11. D. Voiculescu, Property (T) and approximation of operators, Bull. London Math. Soc. 22 (1990) 25-30.
12. A. Weil, Basic number theory, Grundlehren Der Math. Wiss., vol. 144 (Springer, Berlin, 3rd ed. 1974).