Upper multiplicity and bounded trace ideals in \(C^*\)-algebras

DOI10.1006/jfan.1996.3041zbMath0909.46049OpenAlexW2010423823MaRDI QIDQ1369777

Robert J. Archbold, Douglas W. B. Somerset, John S. Spielberg

Publication date: 8 April 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3041

zbMATH Keywords

GNS representationlargest uniformly liminal idealupper and lower multiplicities

Mathematics Subject Classification ID

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

Related Items (11)

Strength of convergence in non-free transformation groups ⋮ Lower multiplicity for irreducible representations of nilpotent locally compact groups ⋮ On the isomorphism problem for C∗-algebras of nilpotent Lie groups ⋮ Regularity of points in the spectrum of a \(C^*\)-algebra ⋮ Limit sets and strengths of convergence for sequences in the duals of thread-like Lie groups ⋮ Strength of convergence in duals of \(C^*\)-algebras and nilpotent Lie groups ⋮ Strength of convergence in the orbit space of a groupoid ⋮ Strength of convergence in the orbit space of a transformation group ⋮ Bounded trace \(C^*\)-algebras and integrable actions ⋮ Extensions of pure states and projections of norm one ⋮ Properties preserved under Morita equivalence of 𝐂*-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The elements of bounded trace in the \(C^*\)-algebra of a nilpotent Lie group
• Characterization of \(C^*\)-algebras with continuous trace by properties of their pure states
• On the behaviour of sequences in the dual of a nilpotent Lie group
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• Type I \(C^ *\)-algebras
• The Dual Spaces of C ∗ -Algebras
• Transition probabilities and trace functions for $C^*$-algebras.
• Upper and Lower Multiplicity for Irreducible Representations of C^* -Algebras
• Topologies for Primal Ideals
• On Group C ∗ -Algebras of Bounded Representation Dimension
• A Decomposition Theorem for $C^*$ Algebras.
• Topologie et traces sur les $C^*$-algèbres
• Theory of operator algebras I.

This page was built for publication: Upper multiplicity and bounded trace ideals in \(C^*\)-algebras