Simplicity of the projective unitary groups defined by simple factors

DOI10.1007/BF02566277zbMath0406.46051OpenAlexW1966320886MaRDI QIDQ1257647

Pierre De la Harpe

Publication date: 1979

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/139788

zbMATH Keywords

CenterLie GroupAw*- AlgebrasCountably Decomposable Von Neumann AlgebraProjective Unitary GroupsSimple FactorsSimple GroupStonean Space

Mathematics Subject Classification ID

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

Related Items (5)

Strong uncountable cofinality for unitary groups of von Neumann algebras ⋮ Automorphism groups of Jordan C*-algebras ⋮ Simplicity, bounded normal generation, and automatic continuity of groups of unitaries ⋮ Bounded normal generation and invariant automatic continuity ⋮ Normal subgroups of invertibles and of unitaries in a \(C^\ast\)-algebra

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