## Finite sums of commutators in $$C^*$$-algebras.(English)Zbl 0464.46047

### MSC:

 46L05 General theory of $$C^*$$-algebras

### Keywords:

finite traces; finite sums of commutators
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### References:

 [1] J. CUNTZ, The structure of multiplication and addition in simple C*-algebras, Math. Scand., 40 (1977). · Zbl 0372.46063 [2] J. CUNTZ, A class of C*-algebras and topological Markov chains II : reducible Markov chains and the ext-functor for C*-algebras, Preprint Univ. Heidelberg, n° 57 (March 1980). · Zbl 0434.46045 [3] J. CUNTZ and W. KRIEGER, A class of C*-algebras and topological Markov chains, Inventiones Math., 56 (1980), 251-268. · Zbl 0434.46045 [4] J. CUNTZ and G.K. PEDERSEN, Equivalence and traces on C*-algebras, J. Functional Analysis, to appear. · Zbl 0427.46042 [5] E.G. EFFROS, Dimensions and C*-algebras, Preprint UCLA (1980). [6] T. FACK et P. DE LA HARPE, Sommes de commutateurs dans LES algèbres de von Neumann finies continues, Ann. Inst. Fourier, Grenoble, 30,3 (1980), 49-73. · Zbl 0425.46046 [7] G.K. PEDERSEN, C*-algebras and their automorphism groups, Academic Press, New-York (1979). · Zbl 0416.46043 [8] G.K. PEDERSEN and N.H. PETERSEN, Ideals in a C*-algebra, Math. Scand., 27 (1970), 193-204. · Zbl 0218.46056
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