Minimal partial automorphisms twisted by vector bundles over compact infinite finite-dimensional base spaces produce Cuntz-Pimsner algebras that are classifiable by the Elliott invariant, with nuclear dimension at most one.
Recursive subhomogeneity of orbit-breaking subalgebras of $\mathrm{C}^*$-algebras associated to minimal homeomorphisms twisted by line bundles
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In this paper, we construct a recursive subhomogeneous decomposition for the Cuntz--Pimsner algebras obtained from breaking the orbit of a minimal Hilbert $C(X)$-bimodule at a subset $Y \subset X$ with non-empty interior. This generalizes the known recursive subhomogeneous decomposition for orbit-breaking subalgebras of crossed products by minimal homeomorphisms.
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Cuntz--Pimsner algebras of partial automorphisms twisted by vector bundles II: Nuclear dimension
Minimal partial automorphisms twisted by vector bundles over compact infinite finite-dimensional base spaces produce Cuntz-Pimsner algebras that are classifiable by the Elliott invariant, with nuclear dimension at most one.