AF embeddings of \(C(\mathbb{T}^ 2)\) with a prescribed \(K\)-theory
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Publication:1185737
DOI10.1016/0022-1236(92)90130-BzbMath0756.46039OpenAlexW2085198388MaRDI QIDQ1185737
Terry A. Loring, George A. Elliott
Publication date: 28 June 1992
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(92)90130-b
order unitgroup homomorphismbounded tracesexistence of a unital \(*\)- homomorphismPimsner-Berg techniquereduced \(K\)-theory of the torusunital \(AF\) algebra
Related Items (10)
When almost multiplicative morphisms are close to homomorphisms ⋮ Perturbations of the rotation \(C^*\)-algebras and of the Heisenberg commutation relation ⋮ Almost commuting unitary elements in purely infinite simple \(C^*\)- algebras ⋮ Colored isomorphism of classifiable C-algebras ⋮ Asymptotic unitary equivalence and classification of simple amenable \(C^{\ast}\)-algebras ⋮ LIMITS OF HOMOMORPHISMS WITH FINITE-DIMENSIONAL RANGE ⋮ Cellular filtration of K-theory and determinants of $C^*$-algebras ⋮ Almost commuting unitaries and classification of purely infinite simple \(C^*\)-algebras ⋮ The range of approximate unitary equivalence classes of homomorphisms from AH-algebras ⋮ Classification of homomorphisms from \(C(X)\) to simple \(C^*\)-algebras of real rank zero
Cites Work
- Invariants of almost commuting unitaries
- On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
- The \(K\)-theory of AF embeddings of the rational rotation algebras
- Short Normal Paths and Spectral Variation
- Embedding some transformation group C*-algebras into AF-algebras
- K-Theory and Asymptotically Commuting Matrices
- Dimension Groups and Their Affine Representations
- Extending Cellular Cohomology to C ∗ -Algebras
- Berg's Technique for Pseudo-Actions With Applications to af Embeddings
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