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

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
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

Solvent‐annealing‐induced microphase separation in polyether polyurethane: a small‐angle X‐ray scattering study

open access: yesJournal of Applied Crystallography, Volume 58, Issue 2, Page 564-572, April 2025.
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

2-Homogeneous C*-algebras with the space of primitive ideals homeomorphic to a two-dimensional oriented compact connected manifold generated by idempotents

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2018
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]

open access: yesProceedings of the American Mathematical Society, 2006
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]

open access: yesBulletin of Symbolic Logic, 2007
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.
openaire   +3 more sources

Inclusions of simple C* -algebras [PDF]

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 2002
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.
openaire   +2 more sources

Ring C*-algebras

open access: yesMathematische Annalen, 2010
41 ...
openaire   +3 more sources

Homomorphisms between \(C^{*}\)-algebras and linear derivations on \(C^{*}\)-algebras

open access: yesJournal of Mathematical Analysis and Applications, 2008
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
openaire   +2 more sources

The C*-algebra of a Hilbert Bimodule

open access: yes, 1997
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

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