Stability of rotation relation of two unitaries with \(\mathbb{Z}_3, \mathbb{Z}_4\) and \(\mathbb{Z}_6\)-actions in \(C^*\)-algebras

DOI10.1216/rmj.2023.53.1129OpenAlexW4386272871MaRDI QIDQ6144479

Jiajie Hua

Publication date: 5 January 2024

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-4/STABILITY-OF-ROTATION-RELATION-OF-TWO-UNITARIES-WITH-%e2%84%a43-%e2%84%a44/10.1216/rmj.2023.53.1129.full

zbMATH Keywords

stability\(C^*\)-algebrasunitaryrotation relation\(Z_k\)-action

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Cites Work

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• The soft torus and applications to almost commuting matrices
• Toroidal orbifolds of \(\mathbb{Z}_3\) and \(\mathbb{Z}_6\) symmetries of noncommutative tori
• Representations and automorphisms of the irrational rotation algebra
• C*-algebras associated with irrational rotations
• Invariants of almost commuting unitaries
• Non-commutative spheres. III: Irrational rotations
• Symmetrized non-commutative tori
• Soft non-commutative toral \(C^*\)-algebras
• Projections in rotation algebras and theta functions
• Morphisms of extensions of \(C^*\)-algebras: Pushing forward the Busby invariant
• Stability of rotation relation of two unitaries with the flip action in \(C^\ast \)-algebras
• Continuity of functors with respect to generalized inductive limits
• COMPUTING CONTINGENCIES FOR STABLE RELATIONS
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• The Cancellation Theorem for Projective Modules Over Irrational Rotation C*-Algebras
• Realization of a simple higher-dimensional noncommutative torus as a transformation group C*-algebra
• Almost commuting Hermitian matrices.
• Almost commuting matrices and the Brown-Douglas-Fillmore theorem
• Almost Commuting Unitary Matrices
• NON-COMMUTATIVE SPHERES I
• Some unsolved problems of unknown depth about operators on Hilbert space
• Almost commuting self-adjoint matrices - a short proof of Huaxin Lin's theorem.
• $C^*$-Algebras of Dynamical Systems on the Non-Commutative Torus.
• Projective Modules over the Non-Commutative Sphere
• Stability of certain relations of three unitaries in C∗-algebras
• Rotation Algebras and the Exel Trace Formula
• Stability of rotation relations in -algebras
• The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ)

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