Year: 2026
Type: preprint
Abstract: We prove that $C(X)\rtimesΓ$ is singly generated whenever $Γ$ is a finitely generated discrete amenable group and its action on the nonempty compact metrizable space $X$ is free, minimal, and has the uniform Rokhlin property and Cuntz comparison of open sets. In particular, every free minimal $\mathbb Z^d$-crossed product with metrizable underlying space is singly generated.
Source: arXiv (Cornell University)
Institutions: Northeast Normal University, University of Wyoming
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222585620