Simplicity of the projective unitary group of the multiplier algebra of a simple stable nuclear \(C^*\)-algebra

DOI10.1216/RMJ-2010-40-5-1649zbMath1213.46048OpenAlexW2091233110MaRDI QIDQ613539

Efren Ruiz, Ping Wong Ng

Publication date: 21 December 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2010-40-5-1649

zbMATH Keywords

projective unitary groupsimple separable nuclear \(C^*\)-algebrasimple topological group

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items (1)

Normal subgroups of invertibles and of unitaries in a \(C^\ast\)-algebra

Cites Work

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• Sur la simplicité essentielle du groupe des inversibles et du groupe unitaire dans une \(C^*\)-algèbre simple
• Finite sums and products of commutators in inductive limit \(C^ \ast\)- algebras
• The automorphism group of the irrational rotation \(C^*\)-algebra
• On the Structure of Projections and Ideals of Corona Algebras
• Infinite Unitary Groups
• An abstract Voiculescu-Brown-Douglas-Fillmore absorption theorem.

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