K-Theory and Asymptotically Commuting Matrices
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Publication:3791321
DOI10.4153/CJM-1988-008-9zbMath0647.18007MaRDI QIDQ3791321
Publication date: 1988
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Commutativity of matrices (15A27) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)
Related Items (30)
GROUP QUASI-REPRESENTATIONS AND INDEX THEORY ⋮ When almost multiplicative morphisms are close to homomorphisms ⋮ Perturbations of the rotation \(C^*\)-algebras and of the Heisenberg commutation relation ⋮ Quasi-representations of groups and two-homology ⋮ Equivalence of the \(C^*\)-algebras \(q\mathbb C\) and \(C_0(\mathbb R^2)\) in the asymptotic category ⋮ Almost commuting unitary elements in purely infinite simple \(C^*\)- algebras ⋮ Stability of rotation relations in -algebras ⋮ Almost commuting unitary matrices related to time reversal ⋮ Almost commuting orthogonal matrices ⋮ Classification of homomorphisms into simple \(\mathcal Z\)-stable \(C^*\)-algebras ⋮ Almost commuting matrices, cohomology, and dimension ⋮ Higher dimensional Bott classes and the stability of rotation relations ⋮ Relative index pairing and odd index theorem for even dimensional manifolds ⋮ Asymptotic unitary equivalence and classification of simple amenable \(C^{\ast}\)-algebras ⋮ Morphisms of extensions of \(C^*\)-algebras: Pushing forward the Busby invariant ⋮ Invariants of almost commuting unitaries ⋮ Approximate unitary equivalence in simple $C^{*}$-algebras of tracial rank one ⋮ AF embeddings of \(C(\mathbb{T}^ 2)\) with a prescribed \(K\)-theory ⋮ Some results on tracial stability and graph products ⋮ Approximate homotopy of homomorphisms from 𝐶(𝑋) into a simple 𝐶*-algebra ⋮ \(K\)-theory for the crossed products by certain actions of \(\mathbb Z^2\) ⋮ Rieffel projections in certain transformation group \(C^*\)-algebras ⋮ Almost commuting matrices, localized Wannier functions, and the quantum Hall effect ⋮ Stability of certain relations of three unitaries in C∗-algebras ⋮ Almost commuting unitaries and classification of purely infinite simple \(C^*\)-algebras ⋮ Obstructions to lifting abelian subalgebras of corona algebras ⋮ The \(K\)-theory of AF embeddings of the rational rotation algebras ⋮ Homotopy of a pair of approximately commuting unitaries in a simple \(C^*\)-algebra ⋮ Classification of homomorphisms from \(C(X)\) to simple \(C^*\)-algebras of real rank zero ⋮ Almost Commuting Unitary Matrices
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