Simplicity and the stable rank of some free product C*-algebras

DOI10.1090/S0002-9947-99-02180-7zbMath0908.46037arXivfunct-an/9702015OpenAlexW1946847723MaRDI QIDQ4216310

Kenneth J. Dykema

Publication date: 26 October 1998

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

Full work available at URL: https://arxiv.org/abs/funct-an/9702015

zbMATH Keywords

stable ranksimplicity\(C^*\)-algebra reduced free product of finite dimensional abelian algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items (12)

Non-amenable tight squeezes by Kirchberg algebras ⋮ Intersections of Schubert varieties and eigenvalue inequalities in an arbitrary finite factor ⋮ C-simplicity has no local obstruction ⋮ Classifying right-angled Hecke \(\mathrm{C}^\ast\)-algebras via \(K\)-theoretic invariants ⋮ Purely infinite simple reduced \(C^*\)-algebras of one-relator separated graphs ⋮ Graph product Khintchine inequalities and Hecke \(C^\ast \)-algebras: Haagerup inequalities, (non)simplicity, nuclearity and exactness ⋮ C\(^*\)-algebras of separated graphs ⋮ Noncommutative Sobolev spaces, \(C^\infty\) algebras and Schwartz distributions associated with semicircular systems ⋮ \(C^\ast\)-algebras from planar algebras. II: The Guionnet-Jones-Shlyakhtenko \(C^\ast\)-algebras ⋮ Irreducible representations of free products of matrix algebras ⋮ Reduced free products of finite dimensional \(C^*\)-algebras ⋮ Topological entropy of free product automorphisms

Cites Work

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• Advances in the theory of unitary rank and regular approximation
• Free products of hyperfinite von Neumann algebras and free dimension
• Simplicity of the \(C^*\)-algebra associated with the free group on two generators
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• \(C^*\)-algebras associated with free products of groups
• KK-theory of reduced free-product \(C^*\)-algebras
• The stable range of \(C^*\)-algebras
• KK-theory of the full free product of unital C*-algebras.
• Free Random Variables
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• Free Products of C ∗ -Algebras
• Purely Infinite, Simple C^*-Algebras Arising From Free Product Constructions
• Free products of finite dimensional and other von Neumann algebras with respect to non-tracial states

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