New research details homology of ample groupoids and coefficient behavior

A new research paper published on arXiv explores the homology of ample groupoids, focusing on the behavior of discrete coefficients and open invariant covers. The study demonstrates that the universal coefficient theorem for ample groupoids is a discrete coefficient statement and can fail for real numbers on a Cantor set. Furthermore, the research shows that while a cover by clopen invariant subsets forces the groupoid to split, using open invariant subsets yields a Mayer-Vietoris sequence that can be computed, as exemplified by an integer action on a compactification of the integers. AI

RANK_REASON Academic paper published on arXiv detailing mathematical concepts. [lever_c_demoted from research: ic=1 ai=0.1]

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