Tracial oscillation zero and $\mathcal{Z}$-stability (Q6201173)

scientific article; zbMATH DE number 7807329

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English	Tracial oscillation zero and $\mathcal{Z}$-stability	scientific article; zbMATH DE number 7807329

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instance of

scholarly article

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title

Tracial oscillation zero and $\mathcal{Z}$-stability (English)

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author

Huaxin Lin

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published in

Advances in Mathematics

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publication date

20 February 2024

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full work available at URL

https://arxiv.org/abs/2112.12036

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zbMATH Keywords

$\mathcal Z$-stability

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tracial oscillation zero

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MaRDI profile type

MaRDI publication profile

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cites work

Q5611281

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

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Traces on simple AF C*-algebras

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Q3488015

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Dimension functions and traces on C*-algebras

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Stable isomorphism of hereditary subalgebras of $C^*$-algebras

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Semicontinuity and Multipliers of C*-Algebras

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$C^*$-algebras of real rank zero

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Nuclear dimension of simple $\mathrm{C}^*$-algebras

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Nuclear dimension of simple stably projectionless $C^\ast$-algebras

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Uniform Property Γ

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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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Equivalence and traces on $C^*$-algebras

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Reduction of topological stable rank in inductive limits of $C^*$- algebras

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Automorphisms determined by multipliers on ideals of a $C^*$-algebra

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On the classification of C*-algebras of real rank zero.

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Q4866040

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On the classification of $C^*$-algebras of real rank zero. II

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On the classification of simple inductive limit $C^{*}$-algebras. II: The isomorphism theorem

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Simple stably projectionless C*-algebras with generalized tracial rank one

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The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension

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

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Obstructions to 𝒵-Stability for Unital Simple C*-Algebras

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Q3717102

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Quasitraces on exact C*-algebras are traces

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On a Simple Unital Projectionless C*-Algebra

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Embedding of exact C* -algebras in the Cuntz algebra 𝒪2

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

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When central sequence C*-algebras have characters

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COVERING DIMENSION AND QUASIDIAGONALITY

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Simple C ∗ -Algebras with Continuous Scales and Simple Corona Algebras

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The Tracial Topological Rank of C*-Algebras

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Classification of simple $C^*$-algebras of tracial topological rank zero

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Simple nuclear $C^{*}$-algebras of tracial topological rank one

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Asymptotic unitary equivalence and classification of simple amenable $C^{\ast}$-algebras

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Hereditary uniform property $\Gamma$

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Strict comparison and $\mathcal{Z}$-absorption of nuclear $C^*$-algebras

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Decomposition rank of UHF-absorbing $C^\ast$-algebras

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Q3205815

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A classification theorem for nuclear purely infinite simple $C^*$-algebras

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Dimension and Stable Rank in the K -Theory of C* -Algebras

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Classification of inductive limits of Cuntz algebras.

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

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

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

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On the Structure of Cuntz Semigroups in (Possibly) Nonunital C*-algebras

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

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Z-Stability and Finite-Dimensional Tracial Boundaries

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Strongly self-absorbing $C^{*}$-algebras

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

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The nuclear dimension of $C^{*}$-algebras

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Tracial state space with non-compact extreme boundary

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Identifiers

arXiv ID

2112.12036

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Mathematics Subject Classification ID

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10.1016/J.AIM.2023.109462

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Sitelinks

Mathematics(1 entry)

mardi Publication:6201173

Tracial oscillation zero and \(\mathcal{Z}\)-stability (Q6201173)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)