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Recursive subhomogeneity of orbit-breaking subalgebras of $\mathrm{C}^*$-algebras associated to minimal homeomorphisms twisted by line bundles

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arxiv 2410.07424 v2 pith:DSMHJXZQ submitted 2024-10-09 math.OA math.DS

Marzieh Forough , Ja A Jeong , Karen R. Strung This is my paper · ORCID
classification math.OAmath.DS
keywords minimalrecursivealgebrasdecompositionhomeomorphismsorbit-breakingsubalgebrassubhomogeneous
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abstract

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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  1. Cuntz--Pimsner algebras of partial automorphisms twisted by vector bundles II: Nuclear dimension

    math.OA 2025-06 conditional novelty 6.0 of 10

    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.

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