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On nuclear C\(^*\)-algebras. (English) Zbl 0252.46065


MSC:

46L05 General theory of \(C^*\)-algebras
46M05 Tensor products in functional analysis
22D25 \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations
47L50 Dual spaces of operator algebras
Full Text: DOI

References:

[1] Arveson, W., Subalgebras of \(C^∗\)-algebras, Acta Math., 123, 141-224 (1969) · Zbl 0194.15701
[2] Bourbaki, N., Espaces vectoriels topologiques (1955), Hermann: Hermann Paris · Zbl 0066.35301
[3] Dixmier, J., Les algèbres d’opérateurs dans l’espace hilbertien (1957), Gauthier-Villars: Gauthier-Villars Paris · Zbl 0088.32304
[4] Dixmier, J., Les \(C^∗\)-algèbres et leurs représentations (1964), Gauthier-Villars: Gauthier-Villars Paris · Zbl 0152.32902
[5] Greenleaf, F., Invariant Means on Topological Groups (1969), Van Nostrand-Reinhold: Van Nostrand-Reinhold New York · Zbl 0174.19001
[6] Grothendieck, A., Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc., 16 (1955) · Zbl 0064.35501
[7] Guichardet, A., Tensor products of \(C^∗\) algebras, Soviet Math. Dokl., 6, 210-213 (1965) · Zbl 0127.07303
[8] Guichardet, A., Tensor products of \(C^∗\)-algebras, Århus University Lecture Notes Series 12 (1969) · Zbl 0228.46056
[9] Lindenstrauss, J., Extension of compact operators, Mem. Amer. Math. Soc., 48 (1964) · Zbl 0141.12001
[10] Nakamura, M.; Takesaki, M.; Umegaki, H., A remark on the expectations of operator algebras, (Kōdai Math. Sem. Rep., 12 (1960)), 82-90 · Zbl 0102.10802
[11] Okayasu, T., On the tensor products of \(C^∗\)-algebras, Tôhoku Math. J., 18, 325-331 (1966) · Zbl 0152.33101
[12] \( \textsc{M. Rieffel}C^∗\); \( \textsc{M. Rieffel}C^∗\) · Zbl 0284.46040
[13] Russo, B.; Dye, H., A note on unitary operators in \(C^∗\)-algebras, Duke Math. J., 33, 413-416 (1966) · Zbl 0171.11503
[14] Schatten, R., A Theory of Cross-Spaces (1950), Princeton University Press: Princeton University Press Princeton · Zbl 0041.43502
[15] Schwartz, J., Two finite, nonhyperfinite, nonisomorphic factors, Comm. Pure Appl. Math., 16, 19-26 (1963) · Zbl 0131.33201
[16] Stinespring, F., Positive functions on \(C^∗\)-algebras, (Proc. Amer. Math. Soc., 6 (1955)), 211-216 · Zbl 0064.36703
[17] Takesaki, M., On the crossnorm of the direct product of \(C^∗\)-algebras, Tôhoku Math. J., 16, 111-122 (1964) · Zbl 0127.07302
[18] Tomiyama, J., On the product projection of norm one in the direct product of operator algebras, Tôhoku Math. J., 11, 305-313 (1959) · Zbl 0091.10701
[19] Tomiyama, J., Tensor products and projections of norm one in von Neumann algebras, (lecture notes (1970), University of Copenhagen) · Zbl 0176.44002
[20] Turumaru, T., On the direct product of operator algebras I, Tôhoku Math. J., 4, 242-251 (1952) · Zbl 0049.08701
[21] Wulfsohn, A., Produit tensoriel de \(C^∗\)-algèbres, Bull. Sci. Math., 87, 13-27 (1963) · Zbl 0146.12001
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