Higher homotopy groups of Cuntz classes

DOI10.1016/j.aim.2024.109593arXiv2210.14371OpenAlexW4392705753MaRDI QIDQ6126733

Andrew S. Toms

Publication date: 10 April 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.14371

zbMATH Keywords

Cuntz semigrouphomotopy groups

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) (K)-theory and operator algebras (19Kxx)

Cites Work

• Unnamed Item
• Unnamed Item
• The Elliott conjecture for Villadsen algebras of the first type
• Isomorphism of Hilbert modules over stably finite \(C^*\)-algebras
• Approximately central matrix units and the structure of noncommutative tori
• Dimension functions on simple \(C^*\)-algebras
• The structure of the irrational rotation \(C^*\)-algebra
• On the classification problem for nuclear \(C^*\)-algebras
• Geometric structure of dimension functions of certain continuous fields
• An algebraic approach to the radius of comparison
• Quasitraces on exact C*-algebras are traces
• K-Theory for operator algebras. Classification of C$^*$-algebras
• On the classification of C*-algebras of real rank zero.
• Regularity properties in the classification program for separable amenable C*-algebras
• -Stable ASH Algebras
• The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-algebras
• The Cuntz semigroup as an invariant for C*-algebras
• The Structure of Positive Elements for C*-Algebras with Real Rank Zero
• Non-simple purely infinite C*-algebras
• THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS
• The radius of comparison of the tensor product of a C∗-algebra with C(X)
• Homotopies of Constant Cuntz Class