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Abstrakty
Methods for constructing masas in the Calkin algebra without assuming the Continuum Hypothesis are developed.
Wydawca
Czasopismo
Rocznik
Tom
Strony
69--89
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
autor
- Department of Mathematics, Rutgers University, Hill Center, Piscataway, New Jersey, 08854-8019, USA, shelah@math.rutgers.edu
Bibliografia
- [1] C. Akemann and N. Weaver, B(H) has a pure state that is not multiplicative on any masa, Proc. Natl. Acad. Sci. USA 105 (2008), 5313-5314.
- [2] J. Anderson, A maximal abelian subalgebra of the Calkin algebra with the extension property. Math. Scand. 42 (1978), 101-110.
- [3] J. Anderson, Extensions, restrictions, and representations of states on C*-algebras. Trans. Amer. Math. Soc. 249 (1979), 303-329.
- [4] J. Anderson, Pathology in the Calkin algebra. J. Operator Theory 2 (1979), 159-167.
- [5] B. Balcar and P. Simon, Disjoint refinement, in: Handbook of Boolean Algebras, Vol. 2, pp. 333-388, North-Holland, Amsterdam, 1989.
- [6] M. G. Bell, On the combinatorial principle P(c), Fund. Math. 114 (1981), 149-157.
- [7] K. R. Davidson, C -Algebras by Example, Fields Institute Monographs 6, American Mathematical Society, Providence, RI, 1996.
- [8] I. Farah and E. Wofsey, Set Theory and Operator Algebars, Notes from Appalachian Set Theory Workshop at Carnegie Melon University, April 2008.
- [9] P. R. Halmos, A Hilbert Space Problem Book, Graduate Texts in Mathematics 19, Encyclopedia of Mathematics and Its Applications 17, Springer-Verlag, New York, 1982.
- [10] B. E. Johnson and S. K. Parrott, Operators commuting with a von Neumann algebra modulo the set of compact operators. J. Funct. Analysis 11 (1972), 39-61.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD7-0033-0014