Results 51 to 60 of about 96 (96)
Set Theory and C*-Algebras [PDF]
AbstractWe survey the use of extra-set-theoretic hypotheses, mainly the continuum hypothesis, in the C*-algebra literature. The Calkin algebra emerges as a basic object of interest.
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Hyperrigid generators in $$C*$$-algebras [PDF]
8 ...
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Inclusions of simple C* -algebras [PDF]
We prove that if a conditional expectation from a simple $C^*$-algebra onto its $C^*$-subalgebra satisfies the Pimsner-Popa inequality, there exists a quasi-basis. As an application, we establish the Galois correspondence for outer actions of finite groups (and more generally finite dimensional Kac algebras) on simple $C^*$-algebras.
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We investigate relations on elements in $C^{*}$-algebras, including $*$-polynomial relations, order relations and all relations that correspond to universal $C^{*}$-algebras. We call these $C^{*}$-relations and define them axiomatically. Within these are the compact $C^{*}$-relations, which are those that determine universal $C^{*}$-algebras, and we ...
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Homomorphisms between \(C^{*}\)-algebras and linear derivations on \(C^{*}\)-algebras
The authors prove the stability of homomorphisms and derivations between unital \(C^*\)-algebras. For similar results see the papers of \textit{C. Park} [Proc. Am. Math. Soc. 132, No. 6, 1739--1745 (2004; Zbl 1055.47032), Acta Appl. Math. 102, No. 1, 71--85 (2008; Zbl 1148.39028), J. Math. Anal. Appl. 307, No. 2, 753--762 (2005; Zbl 1101.39015)].
Park, Choonkil +2 more
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The C*-algebra of a Hilbert Bimodule
We regard a right Hilbert C*-module X over a C*-algebra A endowed with an isometric *-homomorphism ϕ: A\to L_A(X) as an object X_A of the C*-category of right Hilbert A-modules. Following a construction by the first author and Roberts, we associate to it a C*-algebra O_{X_A} containing X as a ``Hilbert A-bimodule in O_{X_A}''.
DOPLICHER S +2 more
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