On tensor products of certain group $$C^*$$-algebras.(English)Zbl 0358.46040

MSC:

 46L05 General theory of $$C^*$$-algebras 46L10 General theory of von Neumann algebras 46M05 Tensor products in functional analysis 22D15 Group algebras of locally compact groups 22D25 $$C^*$$-algebras and $$W^*$$-algebras in relation to group representations
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References:

 [1] Dixmier, J, LES C∗-algèbres et leurs représentations, (1969), Gauthier-Villars Paris · Zbl 0174.18601 [2] Dixmier, J, LES algèbres d’opérateurs dans l’espace hilbertien, (1969), Gauthier-Villars Paris · Zbl 0175.43801 [3] {\scE. G. Effros and E. C. Lance}, Tensor products of operator algebras, to appear. · Zbl 0372.46064 [4] Guichardet, A, Tensor products of C∗-algebras, Soviet math. dokl., 6, 210-213, (1965) · Zbl 0127.07303 [5] Hall, M, The theory of groups, (1959), Macmillan New York [6] Lance, E.C, On nuclear C∗-algebras, J. functional analysis, 12, 157-176, (1973) · Zbl 0252.46065 [7] {\scE. C. Lance}, Private communication. [8] Powers, R.T, Simplicity of the C∗-algebra associated with the free group on two generators, Duke. math. J., 42, 151-156, (1975) · Zbl 0342.46046 [9] Sakai, S, The theory of W∗-algebras, () · Zbl 0267.46048 [10] Sakai, S, C∗-algebras and W∗-algebras, (1971), Springer-Verlag Berlin · Zbl 0219.46042 [11] Takesaki, M, On the cross-norm of the direct product of C∗-algebras, Tôhoku math. J., 16, 111-122, (1964) · Zbl 0127.07302 [12] Tomiyama, J, Applications of Fubini type theorem to the tensor product of C∗-algebras, Tôhoku math. J., 19, 213-226, (1967) · Zbl 0166.11401 [13] Tomiyama, J, Tensor products and projections of norm one in von Neumann algebras, () · Zbl 0176.44002 [14] Wassermann, S, Extension of normal functionals on W∗-tensor products, (), 301-307 · Zbl 0315.46057 [15] Wassermann, S, The slice map problem for C∗-algebras, (), 537-559, (3) · Zbl 0321.46048 [16] Wulfsohn, A, The primitive spectrum of a tensor product of C∗-algebras, (), 1094-1096 · Zbl 0174.18603
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