Permanence of stable rank one for centrally large subalgebras and crossed products by minimal homeomorphisms

zbMath1463.46080arXiv1505.00725MaRDI QIDQ4971915

Dawn Archey, N. Christopher Phillips

Publication date: 13 October 2020

Full work available at URL: https://arxiv.org/abs/1505.00725

zbMATH Keywords

minimal homeomorphismcrossed productsimple \(C^*\)-algebrastable rank onelarge subalgebracentrally large subalgebraElliott classification program

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

Related Items (7)

Uniform property for certain -algebras ⋮ Inheritance of divisibility forms a large subalgebra ⋮ Ranks of operators in simple \(C^*\)-algebras with stable rank one ⋮ Permanence of real rank zero from a centrally large subalgebra to a C*-algebra ⋮ Classifiable \(\mathrm{C}^*\)-algebras from minimal \(\mathbb{Z} \)-actions and their orbit-breaking subalgebras ⋮ The Cuntz semigroup and the radius of comparison of the crossed product by a finite group ⋮ The comparison properties and large subalgebra are inheritance

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