Homology and AH conjecture for groupoids on one-dimensional solenoids

Research output: Contribution to journalArticlepeer-review


We show that Matui's AH conjecture holds for groupoids of the Bratteli–Vershik systems embedded in the unstable equivalence relation on one-dimensional solenoids.

Original languageEnglish
Pages (from-to)1084-1095
Number of pages12
JournalExpositiones Mathematicae
Issue number4
StatePublished - Dec 2022

Bibliographical note

Funding Information:
This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science and ICT ( NRF-2021R1F1A106314011 ).

Publisher Copyright:
© 2022 The Author(s)


  • AH-conjecture
  • Bratteli–Vershik system
  • Homology groups
  • One-dimensional solenoid
  • Topological full group


Dive into the research topics of 'Homology and AH conjecture for groupoids on one-dimensional solenoids'. Together they form a unique fingerprint.

Cite this