Finite sums and products of commutators in inductive limit \(C^ \ast\)- algebras

DOI10.5802/aif.1328zbMath0766.46043OpenAlexW2335548758MaRDI QIDQ1210527

Klaus Thomsen

Publication date: 13 June 1993

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_1_225_0

zbMATH Keywords

\(AF\)-algebras\(C^*\)-algebras that are inductive limits of finite direct sums of homogeneous \(C^*\)-algebrasunital simple inductive limits of finite direct sums of circle algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Inductive and projective limits in functional analysis (46M40)

Related Items

Simplicity of the projective unitary group of the multiplier algebra of a simple stable nuclear \(C^*\)-algebra, Five Hilbert space problems in operator algebras, Simplicity, bounded normal generation, and automatic continuity of groups of unitaries, Traces on ultrapowers of \(\mathrm{C}^{*}\)-algebras, Commutators and linear spans of projections in certain finite \(C^\ast\)-algebras, Simple nuclear \(C^{*}\)-algebras of tracial topological rank one, COMMUTATORS IN THE JIANG–SU ALGEBRA, Normal subgroups of invertibles and of unitaries in a \(C^\ast\)-algebra, Limits of certain subhomogeneous $C^*$-algebras, The automorphism group of the irrational rotation \(C^*\)-algebra

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