Results 131 to 140 of about 14,642,230 (161)
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Proceedings of the American Mathematical Society, 1986
It is shown that every injective \(C^*\)-algebra is perfect in the sense of \textit{F. W. Shultz} [Commun. Math. Physics 82, 497-509 (1982; Zbl 0488.46050)]. This generalizes the result of \textit{C. A. Akemann} and \textit{F. W. Shultz} for Type I von Neumann algebras [Mem. Am. Math. Soc. 326, 117 p. (1985; Zbl 0584.46045)].
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It is shown that every injective \(C^*\)-algebra is perfect in the sense of \textit{F. W. Shultz} [Commun. Math. Physics 82, 497-509 (1982; Zbl 0488.46050)]. This generalizes the result of \textit{C. A. Akemann} and \textit{F. W. Shultz} for Type I von Neumann algebras [Mem. Am. Math. Soc. 326, 117 p. (1985; Zbl 0584.46045)].
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Asian-European Journal of Mathematics, 2014
The notion of quasicomplemented C-algebras is introduced. The concepts of strong α-ideals and O-ideals are introduced and then some properties of quasicomplemented C-algebras are studied with the help of strong α-ideals and O-ideals. The concept of regular C-algebras is introduced and also some equivalent conditions are derived for every regular C ...
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The notion of quasicomplemented C-algebras is introduced. The concepts of strong α-ideals and O-ideals are introduced and then some properties of quasicomplemented C-algebras are studied with the help of strong α-ideals and O-ideals. The concept of regular C-algebras is introduced and also some equivalent conditions are derived for every regular C ...
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Mathematische Nachrichten, 2009
AbstractWe develop the basics of a theory of sheaves of C*‐algebras and, in particular, compare it to the existing theory of C*‐bundles. The details of two fundamental examples, the local multiplier sheaf and the injective envelope sheaf, are discussed (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Ara, P., Mathieu, Martin
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AbstractWe develop the basics of a theory of sheaves of C*‐algebras and, in particular, compare it to the existing theory of C*‐bundles. The details of two fundamental examples, the local multiplier sheaf and the injective envelope sheaf, are discussed (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Ara, P., Mathieu, Martin
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Asian-European Journal of Mathematics, 2013
The concept of normal C-algebras is introduced. The class of all normal C-algebras is characterized in terms of minimal prime ideals. Direct products of normal C-algebras are studied. A congruence is introduced in terms of multiplicative sets and an equivalency between the normalities of C-algebras and the respective quotient algebras is observed.
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The concept of normal C-algebras is introduced. The class of all normal C-algebras is characterized in terms of minimal prime ideals. Direct products of normal C-algebras are studied. A congruence is introduced in terms of multiplicative sets and an equivalency between the normalities of C-algebras and the respective quotient algebras is observed.
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Proceedings of the American Mathematical Society, 1973
In this paper we present a construction of C*- algebras based on a countable system of subsets of a countable set. The properties of such algebras are described in terms of this system of sets. In (1) Behncke, Krauss and Leptin suggested a generalization of their construction of C*-algebras.
Behncke, Horst, Bös, Wolfgang
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In this paper we present a construction of C*- algebras based on a countable system of subsets of a countable set. The properties of such algebras are described in terms of this system of sets. In (1) Behncke, Krauss and Leptin suggested a generalization of their construction of C*-algebras.
Behncke, Horst, Bös, Wolfgang
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C*-Algebras generated by mappings
Mathematical Notes, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grigoryan S., Kuznetsova A.
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Factorization in \(C^*\)-algebras
1998The author provides elegant and exhaustive overview of factorization results for \(C^\ast\)-algebras and outlines their basic applications. In the first part von Neumann type factorization theorems which stem from polar decomposition are exhibited. For example the following theorem (and its consequences for infinitely many elements) is proved: If \(x ...
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CircPIK3C2A Facilitates the Progression of Glioblastoma via Targeting miR-877-5p/FOXM1 Axis
Frontiers in Oncology, 2021Shuaiwei Tian +2 more
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