Results 81 to 90 of about 21,443,625 (160)
Traces on the uniform tracial completion of Z$\mathcal {Z}$‐stable C∗${\rm C}^*$‐algebras
Abstract The uniform tracial completion of a C∗${\rm C}^*$‐algebra A$A$ with compact trace space T(A)≠∅$T(A) \ne \emptyset$ is obtained by completing the unit ball with respect to the uniform 2‐seminorm ∥a∥2,T(A)=supτ∈T(A)τ(a∗a)1/2$\Vert a\Vert _{2,T(A)}=\sup _{\tau \in T(A)} \tau (a^*a)^{1/2}$. The trace problem asks whether every trace on the uniform
Samuel Evington
wiley +1 more source
Small‐angle X‐ray scattering was applied to polyether polyurethane to investigate the effects of solvent vapor annealing on the microphase separation. Among the solvents studied, methyl ethyl ketone induced the greatest degree of phase separation in polyurethane compared with the thermally annealed state.This study investigated the effects of solvent ...
Shanshan Wang +5 more
wiley +1 more source
Before showed in 1961 that every n-homogeneous C*-algebra is isomorphic to the algebra of all continuous sections for the appropriate algebraic bundle. The base space for the bundle is homeomorphic to the space of primitive ideals for the algebra in the ...
Mikhail V. Shchukin
doaj
(APD)–property of $C^*$–algebras by extensions of $C^*$–algebras with (APD) [PDF]
Summary: A unital \(C^*\)-algebra \({\mathcal A}\) is said to have the (APD)-property if every nonzero element in \({\mathcal A}\) has an approximate polar decomposition. Let \({\mathcal J}\) be a closed ideal of \({\mathcal A}\). Suppose that \(\widetilde {\mathcal J}\) and \({\mathcal A}/{\mathcal J}\) have (APD).
openaire +2 more sources
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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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
openaire +5 more sources

