Almost inductive limit automorphisms and embeddings into AF-algebras

DOI10.1017/S0143385700003618zbMath0651.46064OpenAlexW2016514410MaRDI QIDQ3796237

Dan-Virgil Voiculescu

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1017/s0143385700003618

zbMATH Keywords

approximately inneralmost invariant finite-dimensional \(C^*\)-subalgebras converging to the given AF-algebracrossed product of an AF-algebra by an automorphismperiodic pseudo-orbits of finite-dimensional \(C^*\)- subalgebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Related Items

Inductive limit automorphisms of the irrational rotation algebra ⋮ When is the Cuntz-Krieger algebra of a higher-rank graph approximately finite-dimensional? ⋮ Residually finite dimensional and AF-embeddable $C^*$-algebras ⋮ AF-embedding of crossed products of certain graph \(C^\ast\)-algebras by quasi-free actions. II ⋮ Approximate unitary equivalence in simple $C^{*}$-algebras of tracial rank one ⋮ MF actions and \(K\)-theoretic dynamics ⋮ Characterizing type I \(C^*\)-algebras via entropy ⋮ An approximate universal coefficient theorem ⋮ On the existence of quasicentral approximate units relative to normed ideals. I ⋮ The \(K\)-theory of AF embeddings of the rational rotation algebras ⋮ AF embeddability of crossed products of AF algebras by the integers ⋮ Topological entropy, embeddings and unitaries in nuclear quasidiagonal $C^*$-algebras ⋮ AF embeddability of crossed products of AT algebras by the integers and its application ⋮ Around quasidiagonal operators ⋮ AF-embeddability of crossed products of Cuntz algebras

Cites Work

• Ultrasimplicial dimension groups
• C*-algebras with approximately inner flip
• Period two automorphisms of UHF C*-algebras
• Embedding some transformation group C*-algebras into AF-algebras