Finite dimensional representations of the soft torus

DOI10.1090/S0002-9939-01-06150-0zbMath0991.46039arXivmath/9810165OpenAlexW2107119065MaRDI QIDQ2759021

Ruy Exel, Søren Eilers

Publication date: 10 December 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9810165

zbMATH Keywords

hyponormal operatorsoft torusfaithful tracial stateresidually finite dimensional \(C^\ast\)-algebras

Mathematics Subject Classification ID

Noncommutative topology (46L85) Subnormal operators, hyponormal operators, etc. (47B20) General theory of (C^*)-algebras (46L05) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (5)

Approximate symmetries of Hamiltonians ⋮ Elements of -algebras Attaining their Norm in a Finite-dimensional Representation ⋮ Quadratic modules, 𝐶*-algebras, and free convexity ⋮ Noncommutative semialgebraic sets and associated lifting problems ⋮ Estimating Norms of Commutators

Cites Work

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• The soft torus and applications to almost commuting matrices
• Free and residually finite-dimensional \(C^*\)-algebras
• The full C*-algebra of the free group on two generators
• Invariants of almost commuting unitaries
• On the approximation of quasidiagonal \(C^*\)-algebras
• Generalized inductive limits of finite-dimensional \(C^*\)-algebras
• The soft torus: A variational analysis of commutator norms
• FINITE-DIMENSIONAL REPRESENTATIONS OF FREE PRODUCT C*-ALGEBRAS
• Non-Commutative Deformations of C(T²) and K-Theory
• Nonnuclear subalgebras of AF algebras
• On Residually Finite-Dimensional C ∗ -Algebras

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