×

zbMATH — the first resource for mathematics

An example of a non nuclear C*-algebra, which has the metric approximation property. (English) Zbl 0408.46046

MSC:
46L10 General theory of von Neumann algebras
22D25 \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations
43A35 Positive definite functions on groups, semigroups, etc.
PDF BibTeX XML Cite
Full Text: DOI EuDML
References:
[1] Akemann, C.A., Ostrand, P.A.: Computing norms in groupC *-algebras. Amer. J. Math.98, 1015-1047 (1976) · Zbl 0342.22008
[2] Berg, C., Forst, G.: Potential theory of locally compact abelian groups. Ergebnisse der Mathematik87. Berlin, Heidelberg, New York: Springer 1975 · Zbl 0308.31001
[3] Choi, M.-D., Effros, E.G.: NuclearC *-algebras and the approximation property. Amer. J. Math.100, 61-79 (1978) · Zbl 0397.46054
[4] Connes, A.: Classification of injective factors. Ann. Math.104, 73-115 (1976) · Zbl 0343.46042
[5] Effros, E.G., Lance, E.C.: Tensor products of operator algebras, Advances in Math.25, 1-34 (1977) · Zbl 0372.46064
[6] Eymard, P.: L’algèbre de fourier d’un groupe localment compact. Bull. Soc. Math. France92, 181-236 (1964) · Zbl 0169.46403
[7] Greenleaf, F.P.: Invariant means on topological groups. New York: Van Nostrand 1969 · Zbl 0174.19001
[8] Haagerup, U.: On the dual weights for crossed products of von Neumann algebras II. Math. Scand.43, 119-140 (1978) · Zbl 0405.46053
[9] Kirshberg, E.:C *-nuclearity implies CPAP. Math. Nachr.76, 203-212 (1977) · Zbl 0383.46011
[10] Lance, E.C.: On nuclearC *-algebras. J. funct. analysis12, 157-176 (1973) · Zbl 0252.46065
[11] Leinart, M.: Faltungsoperatoren auf gewissen diskreten Gruppen. Studia Math.12, 149-158 (1974) · Zbl 0262.43009
[12] Lindenstrauss, J., Tzafriri, L.: Classical Banach Spaces I, Ergebnisse der Mathematik92. Berlin, Heidelberg, New York: Springer 1977 · Zbl 0362.46013
[13] Powers, R.T.: Simplicity of theC *-algebra associated with the free group on two generators. Duke Math. J.1, 151-156 (1975) · Zbl 0342.46046
[14] Sakai, S.:C *-algebras andW *-algebras, Ergebnisse der Mathematik60. Berlin, Heidelberg, New York: Springer 1971 · Zbl 0219.46042
[15] Szankowski, A.: paper in preparation.
[16] Takesaki, M.: On the cross norm of the direct product ofC *-algebras. Tohoku Math. J.16, 111-122 (1964) · Zbl 0127.07302
[17] Wassermann, S.: On Tensor products of certain groupC *-algebras. J. funct. analysis23, 239-254 (1976) · Zbl 0358.46040
[18] Wassermann, S.: InjectiveW *-algebras, Math. Proc. Camb. Phil. Soc.82, 39-47 (1977) · Zbl 0372.46065
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.