Traces on ultrapowers of $\mathrm{C}^{*}$-algebras (Q6150103)

scientific article; zbMATH DE number 7813593

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English	Traces on ultrapowers of $\mathrm{C}^{*}$-algebras	scientific article; zbMATH DE number 7813593

Statements

instance of

scholarly article

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title

Traces on ultrapowers of $\mathrm{C}^{*}$-algebras (English)

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Journal of Functional Analysis

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publication date

5 March 2024

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full work available at URL

https://arxiv.org/abs/2303.01929

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zbMATH Keywords

ultraproducts

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traces

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Cuntz semigroups

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$\mathrm{C}^{*}$-algebras

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MaRDI profile type

MaRDI publication profile

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cites work

Q5611281

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Perforation conditions and almost algebraic order in Cuntz semigroups

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Edwards' condition for quasitraces on <i>C</i>*-algebras

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$C^*$-algebras of stable rank one and their Cuntz semigroups

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Tensor products and regularity properties of Cuntz semigroups

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Abstract Bivariant Cuntz Semigroups

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Abstract bivariant Cuntz semigroups. II

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Cuntz semigroups of ultraproduct C∗‐algebras

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The Dixmier property and tracial states for $C^\ast$-algebras

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Reduced coproducts of compact Hausdorff spaces

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Traces, Ultrapowers and the Pedersen-Petersen C*-Algebras

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Dimension functions and traces on C*-algebras

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An algebraic approach to the radius of comparison

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Extending states on preordered semigroups and the existence of quasitraces on $C^ \ast$-algebras

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Covering Dimension of C*-Algebras and 2-Coloured Classification

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Isomorphism of Hilbert modules over stably finite $C^*$-algebras

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The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-algebras

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Cuntz semigroups of ideals and quotients and a generalized Kasparov Stabilization Theorem

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Classification of injective factors. Cases $\mathrm{II}_1$, $\mathrm{II}_\infty$, $\mathrm{III}_\lambda$, $\lambda\neq 1$

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The Cuntz semigroup as an invariant for C*-algebras

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Dimension functions on simple $C^*$-algebras

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Equivalence and traces on $C^*$-algebras

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The cone of lower semicontinuous traces on a C*-algebra

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Model theory of 𝐶*-algebras

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Model theory and Rokhlin dimension for compact quantum group actions

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Applications of model theory to $C^*$-dynamics

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Q5183990

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Quasitraces on exact C*-algebras are traces

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Ultraproducts in Banach space theory.

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The nonstandard hulls of a uniform space

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The Cuntz semigroup and domain theory

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Central sequence $C^*$-algebras and tensorial absorption of the Jiang-Su algebra

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Uncountably many $II_1$ factors

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Sums of commutators in pure C*-algebras

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The Corona Factorization Property, Stability, and the Cuntz Semigroup of a C*-algebra

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Dixmier approximation and symmetric amenability for C*-algebras

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Q3205815

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Lectures on Choquet's theorem

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Nuclear dimension and n-comparison

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The Cone of Functionals on the Cuntz Semigroup

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Nuclear dimension and sums of commutators

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On the Lie ideals of $\Cstar$-algebras

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Nuclear dimension and 𝒵-stability of non-simple 𝒞*-algebras

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THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS

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The Jiang–Su algebra revisited

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Ranks of operators in simple $C^*$-algebras with stable rank one

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Covering dimension of Cuntz semigroups II

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Covering dimension of Cuntz semigroups

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The Global Glimm Property

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Finite sums and products of commutators in inductive limit $C^ \ast$- algebras

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Traces, unitary characters and crossed products by $\mathbb{Z}$

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Nuclear dimension, $\mathcal Z$-stability, and algebraic simplicity for stably projectionless $C^\ast$-algebras

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Quasidiagonality of nuclear $\mathrm{C}^\ast$-algebras

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Nuclear dimension and $\mathcal{Z}$-stability of pure $C^{\ast}$-algebras

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Identifiers

arXiv ID

2303.01929

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Mathematics Subject Classification ID

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10.1016/J.JFA.2024.110341

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Sitelinks

Mathematics(1 entry)

mardi Publication:6150103

Traces on ultrapowers of \(\mathrm{C}^{*}\)-algebras (Q6150103)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)