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The smallest C$$^*$$-algebra for canonical commutation relations. (English) Zbl 0284.46039

##### MSC:
 46L05 General theory of $$C^*$$-algebras 22D25 $$C^*$$-algebras and $$W^*$$-algebras in relation to group representations 46K05 General theory of topological algebras with involution
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##### References:
 [1] Slawny J.: On factor representations and the C*-algebra of canonical communications relations. Preprint (1971). · Zbl 0219.46047 [2] Manuceau, J.: Ann. Inst. Henri PoincaréVIII (2), 139 (1968). [3] Rocca, F., Sirugue, M., Testard, D.: Commun. math. Phys.19, 119 (1970). [4] Grossmann, A.: Private communications. [5] Naimark, M. A.: Normed rings. Groningen, The Netherlands: 1966. P. Noordhoff N. W. [6] Dixmier, J.: Les algèbres d’opérateurs dans l’espace hilbertien. Paris: 1969. Gauthier-Villars. · Zbl 0175.43801 [7] Doplicher, S., Kastler, D., Stormer, E.: J. of Functional Analysis3 (3), 419 (1969). · Zbl 0174.44604 [8] Stormer, E.: Asymptotically Abelian systems. Cargèse Lectures in Physics (Vol. 4). New York: 1969. Gordon and Breach. [9] Takesaki, M.: Tomita’s theory of modular Hilbert algebras and its applications. Berlin-Heidelberg-New York: Springer 1970. · Zbl 0193.42502
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