Exponential length and traces

DOI10.1017/S0308210500030730zbMath0820.46067MaRDI QIDQ4698374

N. Christopher Phillips

Publication date: 17 May 1995

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(C^*\)-algebraunitary groupcommutator subgroupreduced \(C^*\) exponential rank

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80)

Related Items (12)

Between reduced powers and ultrapowers ⋮ Simplicity, bounded normal generation, and automatic continuity of groups of unitaries ⋮ Exponentials in simple \(\mathcal Z\)-stable \(C^\ast\)-algebras ⋮ 𝐶*-Algebras with the Approximate Positive Factorization Property ⋮ COMPUTING CONTINGENCIES FOR STABLE RELATIONS ⋮ Forcing axioms and coronas of C∗-algebras ⋮ Polish groups of unitaries ⋮ Model theory of 𝐶*-algebras ⋮ Almost commuting self-adjoint matrices: The real and self-dual cases ⋮ The Calkin algebra is not countably homogeneous ⋮ \(C^*\) exponential length of commutators unitaries in AH-algebras ⋮ Large scale geometry of Banach-Lie groups

Cites Work

• Déterminant associé à une trace sur une algèbre de Banach
• Equivalence and traces on \(C^*\)-algebras
• Approximately central matrix units and the structure of noncommutative tori
• Approximation by unitaries with finite spectrum in purely infinite \(C^*\)-algebras
• Exponential rank and exponential length of operators on Hilbert \(C^*\)- modules
• Exponential rank of \(C^{\ast}\)-algebras with real rank zero and the Brown-Pedersen conjectures
• The homotopy type of the unitary group of Hilbert space
• Exponential length and exponential rank in C*-algebras
• The real rank of inductive limit $C^*$-algebras.
• Simple $C^*$-algebras with the property weak (FU).

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