Hausdorffified algebraic \(K_1\)-groups and invariants for \(C^\ast\)-algebras with the ideal property
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Publication:2307857
DOI10.2140/akt.2020.5.43zbMath1441.19010arXiv1905.12453OpenAlexW3012802561MaRDI QIDQ2307857
Guihua Gong, Liangqing Li, Chun Lan Jiang
Publication date: 25 March 2020
Published in: Annals of \(K\)-Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.12453
\(C^\ast\)-algebraElliott invariantideal property\(AH\) algebrasHausdorffified algebraic \(K_1\)-group
(K)-theory and operator algebras (including cyclic theory) (46L80) Classifications of (C^*)-algebras (46L35) Kasparov theory ((KK)-theory) (19K35) (K_0) as an ordered group, traces (19K14)
Related Items (7)
Homomorphisms into simple \(\mathcal{Z}\)-stable \(C^*\)-algebras. II ⋮ A classification of inductive limit C∗$C^{*}$‐algebras with ideal property ⋮ A total Cuntz semigroup for \(C^*\)-algebras of stable rank one ⋮ The unitary Cuntz semigroup on the classification of non-simple \(C^\ast\)-algebras ⋮ Classification of certain inductive limit actions of compact groups on AF algebras ⋮ Inductive limit of direct sums of simple TAI algebras ⋮ Uniformly based Cuntz semigroups and approximate intertwinings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new class of identities involving Cauchy numbers, harmonic numbers and zeta values
- On the classification of \(C^*\)-algebras of real rank zero. II
- Abelian \(C^*\)-subalgebras of \(C^*\)-algebras of real rank zero and inductive limit \(C^*\)-algebras
- On the classification of simple inductive limit \(C^{*}\)-algebras. II: The isomorphism theorem
- Déterminant associé à une trace sur une algèbre de Banach
- Approximately central matrix units and the structure of noncommutative tori
- A classification result for approximately homogeneous \(C^*\)-algebras of real rank zero
- Classification of \(C^*\)-algebras of real rank zero and unsuspended \(E\)-equivalence types
- Shape equivalence, nonstable \(K\)-theory and \(AH\) algebras.
- \(C^*\)-algebra homomorphisms and \(KK\)-theory
- On the classification of simple inductive limit \(C^*\)-algebras. I: The reduction theorem
- Approximately unitarily equivalent morphisms and inductive limit \(C^*\)- algebras
- Classification of certain infinite simple \(C^*\)-algebras
- Limits of circle algebras
- Traces, unitary characters and crossed products by \(\mathbb{Z}\)
- A universal multicoefficient theorem for the Kasparov groups
- A complete invariant for \(AD\) algebras with real rank zero and bounded torsion in \(K_ 1\)
- Classifying \(C^*\)-algebras via ordered, mod-\(p\) \(K\)-theory
- \(A\mathbb T\) structure of \(AH\) algebras with the ideal property and torsion free \(K\)-theory
- Determinant rank of \(C^*\)-algebras
- Simple nuclear \(C^{*}\)-algebras of tracial topological rank one
- Homomorphisms from AH-algebras
- A CLASSIFICATION OF NON-SIMPLE C*-ALGEBRAS OF TRACIAL RANK ONE: INDUCTIVE LIMITS OF FINITE DIRECT SUMS OF SIMPLE TAI C*-ALGEBRAS
- On the classification of C*-algebras of real rank zero.
- -Stable ASH Algebras
- The Cuntz semigroup as an invariant for C*-algebras
- Limits of certain subhomogeneous $C^*$-algebras
- On a Simple Unital Projectionless C*-Algebra
- Inductive Limits of Interval Algebras: The Tracial State Space
- Reduction to dimension three of local spectra of real rank zero C*-algebras.
- Classification of simple 𝐶*-algebras: inductive limits of matrix algebras over trees
- On inductive limits of matrix algebras over higher dimensional spaces, part I.
- Tracially AF 𝐶*-algebras
- ALMOST MULTIPLICATIVE MORPHISMS AND K-THEORY
- Reduction to Dimension Two of the Local Spectrum for anAHAlgebra with the Ideal Property
- Injectivity of the Connecting Maps in AH Inductive Limit Systems
- On Inductive Limits of Matrix Algebras over the Two-Torus
- A Reduction Theorem forAHAlgebras with the Ideal Property
- A Complete Classification of AI Algebras with the Ideal Property
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