Limits and C*-algebras of low rank or dimension
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Publication:3633427
zbMath1212.46073arXiv0708.2727MaRDI QIDQ3633427
Lawrence G. Brown, Gert Kjaergård Pedersen
Publication date: 19 June 2009
Full work available at URL: https://arxiv.org/abs/0708.2727
pullbacksinverse limitsreal rank zerostable rank onesubhomogeneous \(C^*\)-algebrasextensions of \(C^*\)-algebrasextremally rich \(C^*\)-algebras
Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05)
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CONDITION (K) FOR BOOLEAN DYNAMICAL SYSTEMS ⋮ Permanence properties for crossed products and fixed point algebras of finite groups ⋮ Crossed products, the weak ideal property, and topological dimension zero ⋮ The Global Glimm Property ⋮ The generator rank of subhomogeneous -algebras ⋮ Relating properties of crossed products to those of fixed point algebras ⋮ The generator rank of \(C^\ast \)-algebras ⋮ Geometric structure of dimension functions of certain continuous fields ⋮ Topological aspects of group $C^*$-algebras ⋮ Homotopical stable ranks for certain C$^*$-algebras ⋮ On higher real and stable ranks for $CCR$ $C^*-$algebras ⋮ Ideals in tensor products, topological dimension zero and the weak ideal property ⋮ Covering dimension of Cuntz semigroups ⋮ Decomposition rank of approximately subhomogeneous \(C^*\)-algebras ⋮ Crossed products by spectrally free actions
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