Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 31 min ago
PreprintarXiv licencearXiv

Global and local triviality for extensions of ample groupoids: an algebraic approach

  • Nathan Brownlowe
  • Lisa Orloff Clark
  • Enrique Pardo
  • Aidan Sims
Open at sourcePDFDOICite

Abstract

Using the duality between the categories of inverse semigroups and ample groupoids, we prove the triviality (global and local) of the central term of the extension in terms of twisted crossed products.

Related

  1. Comparing local-global obstructions on algebraic stacks
    Chang Lv, Han Wu, Xucheng Zhang
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  2. An Algebraic View of Amenable Groupoids
    Karol Herrera, Andrés Rubiano
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  3. Discretisation in algebraic K-theory of independent ample groupoids and their Steinberg algebras
    Guillermo Cortiñas, Xin Li
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryAnalysis & PDEsarXiv
  4. Harmonic torsion of algebraic generalized Ricci solitons and the structure of solvable extensions
    Huibin Chen, Zhiqi Chen, Fuhai Zhu
    arXivPreprintarXiv licenceFull textGeometry & topologyarXiv
  5. Discrete C*-Frobenius Algebras and Infinite-Index Extensions in Algebraic Quantum Field Theories
    Ziyun Xu
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsMathematical physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{brownlowe2026global,
  title = {{Global and local triviality for extensions of ample groupoids: an algebraic approach}},
  author = {Nathan Brownlowe and Lisa Orloff Clark and Enrique Pardo and Aidan Sims},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.32294},
  eprint = {2609.32294},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.32294},
}
RIS
TY  - UNPB
TI  - Global and local triviality for extensions of ample groupoids: an algebraic approach
AU  - Nathan Brownlowe
AU  - Lisa Orloff Clark
AU  - Enrique Pardo
AU  - Aidan Sims
PY  - 2026
DA  - 2026/09/26
PB  - arXiv
DO  - 10.48550/arxiv.2609.32294
UR  - https://arxiv.org/abs/2609.32294
AB  - Using the duality between the categories of inverse semigroups and ample groupoids, we prove the triviality (global and local) of the central term of the extension in terms of twisted crossed products.
ER  -