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Simple \(C^*\)-algebras generated by isometries. (English) Zbl 0399.46045


MSC:

46L05 General theory of \(C^*\)-algebras
46L10 General theory of von Neumann algebras
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[1] Bratteli, O.: A non-simple crossed product of a simpleC*-algebra by a properly outer action. Preprint
[2] Berger, C.A., Coburn, L.A., Lebow, A.:C*-algebras generated by commuting isometries I. Bull. Am. Math. Soc.81, 747–749 (1975) · Zbl 0316.47023 · doi:10.1090/S0002-9904-1975-13855-9
[3] Choi, M.D., Effros, E.G.: NuclearC*-algebras and the approximation property. Am. J. Math. (to appear)
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[5] Coburn, L.A.: TheC*-algebra generated by an isometry I. Bull. Am. Math. Soc.13, 722–726 (1967) · Zbl 0153.16603 · doi:10.1090/S0002-9904-1967-11845-7
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[8] Cuntz, J.: The structure of multiplication and addition in simpleC*-algebras. Math. Scand. (to appear) · Zbl 0372.46063
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[10] Dixmier, J.: SimpleC*-algebras, mimeographed lecture notes of a conference held at Bâton Rouge (1967)
[11] Douglas, R.G.: On theC*-algebra of a one-parameter semigroup of isometries. Acta Math.128, 143–151 (1972) · Zbl 0232.46063 · doi:10.1007/BF02392163
[12] Glimm, J.G.: On a certain class of operator algebras. Trans. Am. Math. Soc.95, 318–340 (1960) · Zbl 0094.09701 · doi:10.1090/S0002-9947-1960-0112057-5
[13] Johnson, B.E.: Cohomology in Banach algebras. Mem. Am. Math. Soc.127 (1972) · Zbl 0256.18014
[14] O’Donovan, D.P.: Weighted shifts and covariance algebras. Trans. Am. Math. Soc.208, 1–25 (1975) · Zbl 0308.46050 · doi:10.2307/1997272
[15] Roberts, J.: Cross products of von Neumann algebras by group duals. Symposia Mathematica20, 335–363 (1976) · Zbl 0441.46053
[16] Rosenberg, J.: Amenability of crossed products ofC*-algebras. Commun. math. Phys.57, 187–191 (1977) · Zbl 0399.46046 · doi:10.1007/BF01625777
[17] Sakai, S.:C*-algebras andW*-algebras. Berlin-Heidelberg-New York: Springer 1971 · Zbl 0219.46042
[18] Zeller-Meier, G.: Produits croisés d’uneC*-algèbre par un groupe d’automorphismes. J. Math. Pures Appl.47, 101–239 (1968) · Zbl 0165.48403
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