Uniqueness of the trace and simplicity

DOI10.1090/S0002-9939-00-05605-7zbMath0963.46041OpenAlexW1585562751MaRDI QIDQ4508163

Gerard J. Murphy

Publication date: 3 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05605-7

zbMATH Keywords

traceunital \(C^*\)-algebraexact\(C^*\)-dynamical systemssimple \(C^*\)-algebrastable rank oneunique tracial statefaithful tracial statehypertracial

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

Related Items (6)

The Dixmier property and tracial states for \(C^\ast\)-algebras ⋮ Property \(T\ C^\ast\)-algebras with amenable tracial states ⋮ Closed convex hulls of unitary orbits in \(C^{\ast}\)-algebras of real rank zero ⋮ On Specht's theorem in UHF \(C^\ast \)-algebras ⋮ On reduced twisted group \(C^{\ast}\)-algebras that are simple and/or have a unique trace ⋮ On twisted group -algebras associated with FC-hypercentral groups and other related groups

Cites Work

• Equivalence and traces on \(C^*\)-algebras
• Homomorphisms of C* algebras to finite AW* algebras
• Derivations of matroid C\(^*\)-algebras. II
• The structure of the irrational rotation \(C^*\)-algebra
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• Improper filtrations for C*-algebras: spectra of unilateral tridiagonal operators
• Simple C*-crossed products with a unique trace
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