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On factor representations and the \(C^ *\)-algebra of canonical commutation relations. (English) Zbl 0225.46068

MSC:
46L05 General theory of \(C^*\)-algebras
46L35 Classifications of \(C^*\)-algebras
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[1] Artin, E.: Geometric Algebra, Ch. V, § 4. New York: 1957, Interscience Publ. · Zbl 0077.02101
[2] Chevalley, C.: Theory of Lie Groups, Vol. I, Ch. II, § 11. Princeton: Princeton Univ. Press. 1946. · Zbl 0063.00842
[3] Choquet, G.: Lectures on Analysis, Vol. I. New York: Benjamin 1969. · Zbl 0181.39602
[4] Dixmier, J.: Les Algèbres d’Opérateurs dans l’Espace Hilbertien (Algèbres de von Neumann). Paris: 1957. Gauthier-Villars. · Zbl 0088.32304
[5] Glimm, J.: Type IC*-algebras, Ann. Math.73, 572–612 (1961). · Zbl 0152.33002
[6] Guichardet, A.: Produits Tensoriels Infinis et Représentations des Relations d’Anticommutation. Ann. Sci. Ecole. Norm. Super.83, 1–52 (1966). · Zbl 0154.38905
[7] —- Tensor products ofC*-algebras. Aarhus: Aarhus Universitet, 1969.
[8] Kleppner, A.: Multipliers on Abelian Groups. Math. Ann.158, 11–34 (1965). · Zbl 0135.06604
[9] Mackey, G. W.: On a Theorem of Stone and von Neumann. Duke Math. J.16, 313–326 (1949). · Zbl 0036.07703
[10] Ruelle, D.: Statistical Mechanics. Rigorous Results. New York: Benjamin, 1969. · Zbl 0177.57301
[11] Segal, I. E.: Fundations of the Theory of Dynamical Systems with Infinitely many degrees of freedom. I. Math.-Fys. Medd. Dansk. Vid. Selsk.31, no. 12 (1959). · Zbl 0085.21806
[12] Tensor algebras over Hilbert spaces: II. Ann. Math.63, 160–175 (1956). · Zbl 0073.09403
[13] Shale, D., Stinespring, W. F.: States of Clifford algebra. Ann. Math.80, 365–381 (1964). · Zbl 0178.49301
[14] Varadarajan, V. S.: Geometry of Quantum Theory, Vol. II. Ch. X, § 1. New York: Van Nostrand, 1961. · Zbl 0107.12402
[15] Weil, A.: Sur Certaines Groupes d’Opérateurs Unitaires. Acta. Math.111, 143–211 (1964). · Zbl 0203.03305
[16] Manuceau, J.:C*-algebre de relations de commutations. Ann. Inst. Henri Poincaré8, 139–161 (1968). · Zbl 0173.29902
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