Projections in free product \(C^*\)-algebras

DOI10.1007/s000390050046zbMath0907.46045arXivfunct-an/9702016OpenAlexW2567846939MaRDI QIDQ1380472

Kenneth J. Dykema, Mikael Rørdam

Publication date: 4 March 1998

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9702016

zbMATH Keywords

positive coneordered grouptracesnuclearfaithful\(K_0\)-groupAvitzour conditionsreduced free product of \(C^*\)-algebrasweakly unperforated

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05)

Related Items (15)

ON DEHN FUNCTIONS OF AMALGAMATIONS AND STRONGLY UNDISTORTED SUBGROUPS ⋮ A simple \(C^ *\)-algebra with a finite and an infinite projection. ⋮ Classifying right-angled Hecke \(\mathrm{C}^\ast\)-algebras via \(K\)-theoretic invariants ⋮ Hierarchy paths in the Hatcher-Thurston complex ⋮ Unitary dilation of freely independent contractions ⋮ Lipschitzness of \(^*\)-homomorphisms between \(C^*\)-metric algebras ⋮ Purely infinite simple reduced \(C^*\)-algebras of one-relator separated graphs ⋮ \(C^\ast\)-algebras from planar algebras. II: The Guionnet-Jones-Shlyakhtenko \(C^\ast\)-algebras ⋮ The generator problem for $\mathcal {Z}$-stable $C^*$-algebras ⋮ Spacetime-free approach to quantum theory and effective spacetime structure ⋮ Classification of inductive limits of 1-dimensional NCCW complexes ⋮ Faithfulness of bifree product states ⋮ Reduced free products of finite dimensional \(C^*\)-algebras ⋮ ON THE STRUCTURE OF SOME REDUCED AMALGAMATED FREE PRODUCT C*-ALGEBRAS ⋮ Purely infinite, simple 𝐶*-algebras arising from free product constructions. III

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