Geodesic
SAW*-ALGEBRAS ARE ESSENTIALLY NON-FACTORIZABLE
Glasgow mathematical journal, Tome 57 (2015) no. 1, pp. 1-5

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we solve a question of Simon Wassermann, whether the Calkin algebra can be written as a C*-tensor product of two infinite dimensional C*-algebras. More generally, we show that there is no surjective *-homomorphism from a SAW*-algebra onto C*-tensor product of two infinite dimensional C*-algebras.
DOI : 10.1017/S0017089514000093
Mots-clés : 46L05, 46L06, 46L85, 03E05 
GHASEMI, SAEED. SAW*-ALGEBRAS ARE ESSENTIALLY NON-FACTORIZABLE. Glasgow mathematical journal, Tome 57 (2015) no. 1, pp. 1-5. doi: 10.1017/S0017089514000093
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[1] 1.Blackadar, B., Operator algebras, Encyclopaedia of Math. Science, vol. 122 (Springer-Verlag, Berlin, Germany, 2006). Google Scholar

[2] 2.Fang, J., Ge, L. and Li, W., Central sequence algebras of von Neumann algebras, Taiwanese J. Math. 10 (1) (2006), 187–200. Google Scholar

[3] 3.Farah, I., Functions essentially depending on at most one variable, J. Comb. Theory A 94 (2001), 169–177. Google Scholar

[4] 4.Farah, I., Dimension phenomena associated with βℕ- spaces, Topology Appl. 125 (2002), 279–297. Google Scholar | DOI

[5] 5.Farah, I. and Wofsey, E., Set theory and operator algebras, London Math. Soc. Lecture Note Series 406 (Cambridge University Press, Cambridge, UK, 2012), 63–120. Google Scholar

[6] 6.Farah, I., and Hart, B., Countable saturation of Corona algebras, Comptes Rendus Math. Acad. Rep. Sci. Can. 35 (2) (2013), 35–56. Google Scholar

[7] 7.Ge, L., Applications of free entropy to finite von Neumann algebras, II, Ann. Math. 147 (1998), 143–157. Google Scholar

[8] 8.Pedersen, G. K., The corona construction, in Operator theory: Proceedings of the 1988 GPOTS-Wabash conference, Indianapolis, IN, 1988, Pitman Research Notes in Mathematics Series, vol. 225 (Longman, Harlow, UK, 1990), 49–92. Google Scholar

[9] 9.Pedersen, G. K., SAW*- algebras and corona C*-algebras, contributions to non-commutative topology, J. Operator Theory 15 (1986), 15–32. Google Scholar

[10] 10.Van Douwen, E. K., Prime mappings, number of factors and banary operations, Dissertationes Mathematicae, vol. 199 (Panstwowe Wydawn, Warszawa, Poland, 1981). Google Scholar

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