Density of the self-adjoint elements with finite spectrum in an irrational rotation $C^*$-algebra.

DOI10.7146/math.scand.a-12321zbMath0743.46070OpenAlexW153386155MaRDI QIDQ3970970

Man-Duen Choi, George A. Elliott

Publication date: 25 June 1992

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167122

zbMATH Keywords

Cantor spectrumBunce-Deddens algebrasselfadjoint element of the irrational rotation \(C^*\)-algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Related Items (14)

A classification of simple limits of splitting interval algebras ⋮ A classification of inductive limit C∗$C^{*}$‐algebras with ideal property ⋮ \(C^*\)-algebras of real rank zero ⋮ Reduction of real rank in inductive limits of \(C^*\)-algebras ⋮ Abelian \(C^*\)-subalgebras of \(C^*\)-algebras of real rank zero and inductive limit \(C^*\)-algebras ⋮ Approximately central matrix units and the structure of noncommutative tori ⋮ Finite sums and products of commutators in inductive limit \(C^ \ast\)- algebras ⋮ Noncommutative Bloch theory ⋮ Diagonalization of compact operators on Hilbert modules over \(C^*\)-algebras of real rank zero ⋮ Diagonalizing operators in Hilbert modules over \(C^*\)-algebras ⋮ Classification of \(C^{*}\)-homomorphisms from \(C_{0}(0,1\) to a \(C^{*}\)-algebra] ⋮ Limits of certain subhomogeneous $C^*$-algebras ⋮ Crossed products of totally disconnected spaces by ⋮ Symmetries on the discrete Heisenberg group C*-algebra

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