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SAW*-ALGEBRAS ARE ESSENTIALLY NON-FACTORIZABLE

Published online by Cambridge University Press:  26 August 2014

SAEED GHASEMI
SAEED GHASEMI*
Affiliation:
Department of Mathematics, York University, Toronto, ON M3J 1P3, Canada e-mail: saeed.ghas@gmail.com
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Abstract

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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.

Keywords

46L0546L0646L8503E05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 57 , Issue 1 , January 2015 , pp. 1 - 5
Copyright
Copyright © Glasgow Mathematical Journal Trust 2014 

References

REFERENCES

1.Blackadar, B., Operator algebras, Encyclopaedia of Math. Science, vol. 122 (Springer-Verlag, Berlin, Germany, 2006).Google Scholar
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.Farah, I., Functions essentially depending on at most one variable, J. Comb. Theory A 94 (2001), 169–177.Google Scholar
4.Farah, I., Dimension phenomena associated with βℕ- spaces, Topology Appl. 125 (2002), 279–297.CrossRefGoogle Scholar
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.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.Ge, L., Applications of free entropy to finite von Neumann algebras, II, Ann. Math. 147 (1998), 143–157.Google Scholar
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.Pedersen, G. K., SAW*- algebras and corona C*-algebras, contributions to non-commutative topology, J. Operator Theory 15 (1986), 15–32.Google Scholar
10.van Douwen, E. K., Prime mappings, number of factors and banary operations, Dissertationes Mathematicae, vol. 199 (Panstwowe Wydawn, Warszawa, Poland, 1981).Google Scholar