English

Open Condensed Subgroups and Mackey's Formula

Category Theory 2024-12-17 v1

Abstract

We define what it means for a condensed group action to be open (following Scholze) and show that for open subgroups, many elementary results about abstract modules hold for condensed modules, such as the existence of Mackey's Formula for condensed groups. We also indicate how these results can be "solidified" to obtain their solid versions.

Keywords

Cite

@article{arxiv.2412.11968,
  title  = {Open Condensed Subgroups and Mackey's Formula},
  author = {Jiacheng Tang},
  journal= {arXiv preprint arXiv:2412.11968},
  year   = {2024}
}

Comments

10 pages

R2 v1 2026-06-28T20:37:22.111Z