The ideal structure of Cuntz–Krieger algebras

DOI10.1017/S0143385797079200zbMath0886.46061MaRDI QIDQ4348535

Astrid an Huef, Iain Raeburn

Publication date: 1997

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

primitive ideal spacegauge invariant idealsCuntz classification of idealsuniversal Cuntz-Krieger algebra

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

Related Items (39)

Applications of the Gauge-invariant uniqueness theorem for graph algebras ⋮ The primitive ideals of some étale groupoid \(C^\ast\)-algebras ⋮ Ideal Structure of Leavitt Path Algebras with Coefficients in a Unital Commutative Ring ⋮ On the Exel crossed product of topological covering maps ⋮ Commutativity and ideals in strongly graded rings. ⋮ GENERAL CUNTZ–KRIEGER UNIQUENESS THEOREM ⋮ Diagonal-preserving gauge-invariant isomorphisms of graph \(C^{\ast}\)-algebras ⋮ Leavitt path algebras of edge-colored graphs. ⋮ Corners of Cuntz-Krieger algebras ⋮ Leavitt path algebras with coefficients in a commutative ring. ⋮ Morita equivalence of \(C^*\)-correspondences passes to the related operator algebras ⋮ The suspension of a graph, and associated \(C^{\ast}\)-algebras ⋮ Uniqueness theorems for topological higher-rank graph 𝐶*-algebras ⋮ Some results regarding the ideal structure of C∗$C^*$‐algebras of étale groupoids ⋮ Regular ideals, ideal intersections, and quotients ⋮ KMS states on generalised Bunce-Deddens algebras and their Toeplitz extensions ⋮ Shift equivalences through the lens of Cuntz-Krieger algebras ⋮ TRACES ARISING FROM REGULAR INCLUSIONS ⋮ -algebras of labelled graphs III—-theory computations ⋮ Graph algebras and orbit equivalence ⋮ A graded pullback structure of Leavitt path algebras of trimmable graphs ⋮ TOPOLOGICAL QUIVERS ⋮ A generalized Cuntz-Krieger uniqueness theorem for higher-rank graphs ⋮ The nuclear dimension of graph \(C^\ast\)-algebras ⋮ A note on the gauge invariant uniqueness theorem for \( C^\ast\)-correspondences ⋮ Graphs, groupoids, and Cuntz-Krieger algebras ⋮ \(C^*\)-crossed products and shift spaces ⋮ Aperiodicity and primitive ideals of row-finite k-graphs ⋮ Endomorphisms of graph algebras ⋮ Cuntz-Krieger algebras of infinite graphs and matrices ⋮ Purely infinite partial crossed products ⋮ Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids ⋮ Operator algebras for higher rank analysis and their application to factorial languages ⋮ THEC^*-ALGEBRAS OF LATTICE ATOMIC GRAPHS ⋮ Dynamics, Wavelets, Commutants and Transfer Operators Satisfying Crossed Product Type Commutation Relations ⋮ C*-algebras associated with presentations of subshifts ii. ideal structure and lambda-graph subsystems ⋮ Kumjian-Pask algebras of higher-rank graphs ⋮ The \(C^*\)-algebras of arbitrary graphs ⋮ An equivariant pullback structure of trimmable graph \(C^{\ast}\)-algebras

This page was built for publication: The ideal structure of Cuntz–Krieger algebras