Hausdorffified algebraic $K_1$-groups and invariants for $C^\ast$-algebras with the ideal property (Q2307857)

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English	Hausdorffified algebraic $K_1$-groups and invariants for $C^\ast$-algebras with the ideal property	scientific article

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title

Hausdorffified algebraic $K_1$-groups and invariants for $C^\ast$-algebras with the ideal property (English)

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25 March 2020

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full work available at URL

https://arxiv.org/abs/1905.12453

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zbMATH Keywords

$C^\ast$-algebra

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$AH$ algebras

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ideal property

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Elliott invariant

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Hausdorffified algebraic $K_1$-group

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MaRDI profile type

MaRDI publication profile

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cites work

Q4309866

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Approximately central matrix units and the structure of noncommutative tori

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The Cuntz semigroup as an invariant for C*-algebras

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Approximately unitarily equivalent morphisms and inductive limit $C^*$- algebras

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Reduction to dimension three of local spectra of real rank zero C*-algebras.

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A universal multicoefficient theorem for the Kasparov groups

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A complete invariant for $AD$ algebras with real rank zero and bounded torsion in $K_ 1$

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

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Q4353894

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On Inductive Limits of Matrix Algebras over the Two-Torus

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

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Abelian $C^*$-subalgebras of $C^*$-algebras of real rank zero and inductive limit $C^*$-algebras

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Injectivity of the Connecting Maps in AH Inductive Limit Systems

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

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On inductive limits of matrix algebras over higher dimensional spaces, part I.

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Classification of $C^*$-algebras of real rank zero and unsuspended $E$-equivalence types

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On the classification of simple inductive limit $C^*$-algebras. I: The reduction theorem

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ALMOST MULTIPLICATIVE MORPHISMS AND K-THEORY

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$A\mathbb T$ structure of $AH$ algebras with the ideal property and torsion free $K$-theory

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Determinant rank of $C^*$-algebras

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A Reduction Theorem for<i>AH</i>Algebras with the Ideal Property

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Déterminant associé à une trace sur une algèbre de Banach

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A Complete Classification of AI Algebras with the Ideal Property

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A CLASSIFICATION OF NON-SIMPLE C*-ALGEBRAS OF TRACIAL RANK ONE: INDUCTIVE LIMITS OF FINITE DIRECT SUMS OF SIMPLE TAI C*-ALGEBRAS

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Reduction to Dimension Two of the Local Spectrum for an<i>AH</i>Algebra with the Ideal Property

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On a Simple Unital Projectionless C*-Algebra

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A new class of identities involving Cauchy numbers, harmonic numbers and zeta values

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Classification of simple 𝐶*-algebras: inductive limits of matrix algebras over trees

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$C^*$-algebra homomorphisms and $KK$-theory

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Q5756851

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Q4881430

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Tracially AF 𝐶*-algebras

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

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Homomorphisms from AH-algebras

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Limits of circle algebras

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Shape equivalence, nonstable $K$-theory and $AH$ algebras.

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Classification of certain infinite simple $C^*$-algebras

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Inductive Limits of Interval Algebras: The Tracial State Space

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

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-Stable ASH Algebras

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Identifiers

zbMATH Open document ID

1441.19010

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DOI

10.2140/akt.2020.5.43

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2307857

Hausdorffified algebraic \(K_1\)-groups and invariants for \(C^\ast\)-algebras with the ideal property (Q2307857)

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Mathematics(1 entry)