Nuclear subalgebras of UHF C*-algebras

DOI10.1017/S0013091500017454zbMath0573.46035OpenAlexW2141397407MaRDI QIDQ3692294

Alexander Kumjian, Robert J. Archbold

Publication date: 1986

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500017454

zbMATH Keywords

\(C^ *\)-subalgebra of a nuclear \(C^ *\)-algebra can fail to be nuclearapproximately finite dimensionalevery non-type \(C^ *\)-algebra contains a non-nuclear \(C^ *\)- subalgebrauniformly hyperfinite \(C^ *\)-algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Classifications of (C^*)-algebras (46L35)

Related Items

Extensions of pure states and projections of norm one

Cites Work

• Representations of \(AF\)-algebras and of the group \(U(\infty)\)
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Automorphisms determined by multipliers on ideals of a \(C^*\)-algebra
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• On the cross-norm of the direct product of \(C^ *\)-algebras
• Representations of uniformly hyperfinite algebras and their associated von Neumann rings
• On nuclear C\(^*\)-algebras
• On a Certain Class of Operator Algebras
• A Simple C^*-Algebra Generated by Two Finite-Order Unitaries
• The Slice Map Problem for C*-Algebras
• Inductive Limits of Finite Dimensional C ∗ -Algebras