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Applications of fibre bundles to the certain class of \(C^*\)-algebras. (English) Zbl 0113.09701


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[1] R. BOTT, The stable homotopy of the classical groups, Proc. Nat. Acad. Sci. U. S. A., 43(1957), 933-935. JSTOR: · Zbl 0093.03401 · doi:10.1073/pnas.43.10.933
[2] C. CHEVALLEY, Theory of Lie groups I, Princeton 1946 · Zbl 0063.00842
[3] J. DIXMIER, Sur les C*-algebres, Bull. Soc. Math. France, 88(I960), 95-112 · Zbl 0124.32403
[4] J. M. G. FELL, The dual spaces of C*-algebras, Trans. Amer. Math. Soc., 94(1960), 365-405. JSTOR: · Zbl 0090.32803 · doi:10.2307/1993431
[5] J. GLIMM, On a certain class of operator algebras, Trans. Amer. Math. Soc., 95(1960), 318-340. JSTOR: · Zbl 0094.09701 · doi:10.2307/1993294
[6] J. GLIMM: A Stone-Weierstrass theorem for C*-algebras, Ann. Math., 72(1960), 216-244 JSTOR: · Zbl 0097.10705 · doi:10.2307/1970133
[7] R. GODEMEN, Les functions de type positif et la theorie des groupes, Trans. Amer Math.Soc., 63(1948), 1-84. · Zbl 0031.35903 · doi:10.2307/1990636
[8] A. GROTHENDIECK, Produits tensorieles topologiqueset espaces nucleaires, Mem. o Amer. Math. Soc., 1955.
[9] R. KADISON, Irreducible operator algebras, Proc. Nat. Acad. Sci. U. S. A., 43(1957), 273-276. JSTOR: · Zbl 0078.11502 · doi:10.1073/pnas.43.3.273
[10] I. KAPLANSKY, Normed algebras, Duke Math. Journ., 16(1949), 339-418 · Zbl 0033.18701 · doi:10.1215/S0012-7094-49-01640-3
[11] I. KAPLANSKY, The structure of certain operator algebras, Trans. Amer. Math. Soc., 70(1951), 219-255. JSTOR: · Zbl 0042.34901 · doi:10.2307/1990368
[12] C. E. RICKART, The uniqueness of norm problem in Banach algebras, Ann. Math., 51(1950), 615-628. JSTOR: · Zbl 0037.20003 · doi:10.2307/1969371
[13] S. SAKAI, On some problems of C*-algebras, Thoku Math. Journ., 11(1959), 453-455 · Zbl 0135.35802 · doi:10.2748/tmj/1178244543
[14] N. STEENROD, The topology of fibre bundles, Princeton 1951 · Zbl 0054.07103
[15] M. TAKESAKI, A note on the cross-norm of the direct product of operator algebra, Kdai Math. Sem.Rep., 10(1958), 137-140. · Zbl 0086.09901 · doi:10.2996/kmj/1138844027
[16] H. TODA, A topological proof of theorems of Bott and Hirzebruch for homotopy group of unitary groups, Mem.Coll. Sci. Univ. Kyoto, 32(1959), 103-119. · Zbl 0106.16403
[17] T. TURUMARU, On the direct product of operator algebra, Thoku Math. Journ., 4(1953), 243-251. · Zbl 0051.34301
[18] H. YOSHIZAWA, Some remarks on unitary representations of the free groups, Osak Math. Journ., 3(1951), 55-63. · Zbl 0045.30103
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