Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-27T23:25:35.470Z Has data issue: false hasContentIssue false

Logic and C* -algebras: Set Theoretical Dichotomies in the Theory of Continuous Quotients, York University, Toronto, Canada, 2017. Supervised by Ilijas Farah

Published online by Cambridge University Press:  07 August 2018

Rights & Permissions [Opens in a new window]

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Thesis Abstracts
Copyright
Copyright © The Association for Symbolic Logic 2018 

References

REFERENCES

Brown, L. G., Douglas, R. G., and Fillmore, P. A., Extensions of C*-algebras and K-homology. Annals of Mathematics (2), vol. 105 (1977), no. 2, pp. 265324.CrossRefGoogle Scholar
Coskey, S. and Farah, I., Automorphisms of corona algebras, and group cohomology. Transactions of the American Mathematical Society, vol. 366 (2014), no. 7, pp. 36113630.CrossRefGoogle Scholar
Eagle, C. J. and Vignati, A., Saturation and elementary equivalence of C*-algebras. Journal of Functional Analysis, vol. 269 (2015), no. 8, pp. 26312664.CrossRefGoogle Scholar
Farah, I., Analytic quotients: Theory of liftings for quotients over analytic ideals on the integers. Memoirs of the American Mathematical Society, vol. 148 (2000), no. 702, pp. 1193.CrossRefGoogle Scholar
Farah, I., All automorphisms of the Calkin algebra are inner. Annals of Mathematics (2), vol. 173 (2011), no. 2, pp. 619661.CrossRefGoogle Scholar
McKenney, P. and Vignati, A., Ulam stability for some classes of C*-algebras. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, to appear.Google Scholar
Phillips, N. C. and Weaver, N., The Calkin algebra has outer automorphisms. Duke Mathematical Journal, vol. 139 (2007), no. 1, pp. 185202.CrossRefGoogle Scholar
Rudin, W., Homogeneity problems in the theory of Čech compactifications. Duke Mathematical Journal, vol. 23 (1956), pp. 409419.CrossRefGoogle Scholar
Shelah, S., Proper Forcing, Lecture Notes in Mathematics, vol. 940, Springer-Verlag, Berlin, 1982.CrossRefGoogle Scholar
Veličković, B., OCA and automorphisms of ${\cal P}\left( \omega \right)$/ Fin. Topology and its Applications, vol. 49 (1993), no. 1, pp. 113.CrossRefGoogle Scholar