The stable rank of some free product \(C^*\)-algebras
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Publication:1387861
DOI10.1215/S0012-7094-97-09004-9zbMath0905.46036arXivfunct-an/9608001OpenAlexW1963735393MaRDI QIDQ1387861
Uffe Haagerup, Kenneth J. Dykema, Mikael Rørdam
Publication date: 8 June 1998
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/funct-an/9608001
unital \(C^*\)-algebrareduced free productreduced group \(C^*\)-algebragroup of invertible elementsstable rank 1normalized faithful traces
Related Items (16)
THE ORTHOGONAL POLYNOMIALS FOR A LINEAR SUM OF A FREE FAMILY OF PROJECTIONS ⋮ A class of superrigid group von Neumann algebras ⋮ Ranks of operators in simple \(C^*\)-algebras with stable rank one ⋮ A Banach algebraic approach to the Borsuk-Ulam theorem ⋮ Purely infinite simple reduced \(C^*\)-algebras of one-relator separated graphs ⋮ On reduced twisted group \(C^{\ast}\)-algebras that are simple and/or have a unique trace ⋮ \(C^\ast\)-algebras from planar algebras. II: The Guionnet-Jones-Shlyakhtenko \(C^\ast\)-algebras ⋮ Correction to: ``The stable rank of some free product \(C^*\)-algebras ⋮ \(C^\ast\)-simplicity of free products with amalgamation and radical classes of groups ⋮ On the computation of spectra in free probability ⋮ Classification of inductive limits of 1-dimensional NCCW complexes ⋮ The free wreath product of a discrete group by a quantum automorphism group ⋮ Reduced free products of finite dimensional \(C^*\)-algebras ⋮ Invariants in noncommutative dynamics ⋮ Stable rank of \(C^*\)-algebras of continuous fields ⋮ On invertible elements in reduced \(C^\ast\)-algebras of acylindrically hyperbolic groups
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