Fack, Thierry; de la Harpe, Pierre Sommes de commutateurs dans les algèbres de von Neumann finies continues. (German) Zbl 0425.46046 Ann. Inst. Fourier 30, No. 3, 49-73 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 29 Documents MSC: 46L35 Classifications of \(C^*\)-algebras Keywords:central trace; factor; kernel; Fuglede Kadison determinant commutator PDF BibTeX XML Cite \textit{T. Fack} and \textit{P. de la Harpe}, Ann. Inst. Fourier 30, No. 3, 49--73 (1980; Zbl 0425.46046) Full Text: DOI Numdam EuDML References: [1] [1] , Commutateurs dans le groupe unitaire d’un facteur, J. Math. pures et appl., 46 (1967), 299-312. · Zbl 0191.42703 [2] [2] et , Structure of commutators of operators, Ann. Math., 82 (1965), 112-127. · Zbl 0131.12302 [3] [3] et , Commutators in factors of type III, Canad. J., 18 (1966), 1152-1160. · Zbl 0166.11501 [4] [4] , Periodic automorphisms of the hyperfinite factor of type II1, Acta. Sci. Math., 39 (1977), 39-66. · Zbl 0382.46027 [5] [5] , Automatic continuity: a survey, Bull. London Math. Soc., 10 (1978), 129-183. · Zbl 0391.46037 [6] [6] et , On continuous matrix — valued functions on a stonian space, Pac. J. Math., 14 (1964), 857-869. · Zbl 0172.41304 [7] [7] , Sous-anneaux abéliens maximaux dans les facteurs de type fini, Ann. Math., 59 (1954), 279-286. · Zbl 0055.10702 [8] [8] , Les algèbres d’opérateurs dans l’espace hilbertien (algèbres de von Neumann), 2ème édition - Gauthier-Villars 1969. · Zbl 0175.43801 [9] Berele, A.; Regev, A. [10] [10] , Commutators in properly infinite von Neumann algebras, Trans. Amer. Math. Soc., 139 (1969), 55-73. · Zbl 0176.11403 [11] [11] , Essential central range and self-adjoint commutators in properly infinite von Neumann algebras, Trans. Amer. Math. Soc., 228 (1972), 117-146. · Zbl 0356.46056 [12] [12] , Les extensions de gl(E) par un noyau de dimension finie sont triviales, J. Functional Analysis, 33 (1979), 362-373. · Zbl 0428.17007 [13] [13] , Lie isomorphisms of derived rings of simple rings, Trans. Amer. Math. Soc., 145 (1969), 383-396. · Zbl 0201.03903 [14] [14] , Topics in ring theory, Chicago Lectures in Mathematics, 1969. · Zbl 0232.16001 [15] [15] , Lie and Jordan structures in simple associative rings, Bull. Amer. Math. Soc., 67 (1961), 517-531. · Zbl 0107.02704 [16] [16] , Group of units of a simple ring, J. of algebra, 16 (1970), 108-28. · Zbl 0199.35402 [17] [17] , Adjoint representations of factor groups, Michigan Math. J., 24 (1977), 109-113. · Zbl 0344.46129 [18] [18] , Lie derivations of von Neumann algebras, Duke Math. J., 40 (1973), 403-409. · Zbl 0264.46064 [19] [19] , Derived ring isomorphisms of von Neumann algebras, Canad. J. Math., 25 (1973), 1254-1268. · Zbl 0268.46054 [20] [20] et , On rings of operators, Ann. of Math., 37 (1936), 116-229. · JFM 62.0449.03 [21] [21] et , Sums of small numbers of idempotents, Michigan Math. J., 14 (1968), 453-465. · Zbl 0156.38102 [22] [22] et , Commutators and certain II1-factors, J.F.A., 3 (1969), 69-78. · Zbl 0174.18704 [23] [23] et , On commutators in ideals of compact operators, Michigan Math. J., 18 (1971), 247-252. · Zbl 0226.46066 [24] [24] , Statistical mechanics, Benjamin (1969). [25] [25] , C*-algebras and W*-algebras, Springer, 1971. · Zbl 0219.46042 [26] [26] , Einige Sätze über Matrizen, Jap. J. Math., 13 (1936), 395-406. [27] [27] , Infinite Lie rings, Tohoku Math. J., 8 (1956). 291-307. · Zbl 0074.09904 [28] Hélein, F., Regularity of weakly harmonic maps from a surface into a manifold with symmetries, Manuscripta Math., 70, 203 (1991) · Zbl 0183.42402 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.