HOMOGENEITY OF THE PURE STATE SPACE FOR SEPARABLE C*-ALGEBRAS

DOI10.1142/S0129167X01001015zbMath1067.46056arXivmath/0104257OpenAlexW2962903698MaRDI QIDQ4807367

Hajime Futamura, Nobuhiro Kataoka, Akitaka Kishimoto

Publication date: 18 May 2003

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0104257

Mathematics Subject Classification ID

States of selfadjoint operator algebras (46L30) Automorphisms of selfadjoint operator algebras (46L40)

Related Items

CORE SYMMETRIES OF A FLOW ⋮ Can you take Akemann-Weaver's \(\diamondsuit_{\aleph_1}\) away? ⋮ Trace spaces of counterexamples to Naimark's problem ⋮ Consistency of a counterexample to Naimark's problem ⋮ On pathological properties of fixed point algebras in Kirchberg algebras ⋮ Corrigendum to: ``Trace spaces of counterexamples to Naimark's problem ⋮ THE REPRESENTATIONS AND ENDOMORPHISMS OF A SEPARABLE NUCLEAR C*-ALGEBRA ⋮ A classification of pure states on quantum spin chains satisfying the split property with on-site finite group symmetries ⋮ Type III representations and automorphisms of some separable nuclear \(C^*\)-algebras.

Cites Work

• Trace scaling automorphisms of certain stable AF algebras
• Abundance of invariant and almost invariant pure states of \(C^*\)-dynamical systems
• A classification result for approximately homogeneous \(C^*\)-algebras of real rank zero
• Homogeneity of the pure state space of the Cuntz algebra
• Representations of uniformly hyperfinite algebras and their associated von Neumann rings
• Embedding of exact C* -algebras in the Cuntz algebra 𝒪2