Separable C*-algebras and weak* fixed point property

• Autorzy: Fendler G. , Leinert M.
• Języki publikacji: EN

Abstrakty

EN

We show that the spectrum  of a separable C^∗-algebra A is discrete if and only if A^∗, the Banach space dual of A, has the weak^∗ fixed point property. We prove further that these properties are equivalent among others to the uniform weak^∗ Kadec-Klee property of A^∗ and to the coincidence of the weak^∗ topology with the norm topology on the pure states of A. If one assumes the set-theoretic diamond axiom, then the separability is necessary.

Słowa kluczowe

EN

weak∗ fixed point property; discrete dual; UKK∗

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2013
• Tom: Vol. 33, Fasc. 2
• Strony: 233--241
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Fendler G.

• Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria

autor

Leinert M.

• Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld, Gebäude 294, 69120 Heidelberg, Germany

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).