A derived Chouinard's theorem for infinite groups

@misc{castellana2026derived,
  title = {{A derived Chouinard's theorem for infinite groups}},
  author = {Natàlia Castellana and Juan Omar Gómez},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.31030},
  eprint = {2609.31030},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.31030},
}

TY  - UNPB
TI  - A derived Chouinard's theorem for infinite groups
AU  - Natàlia Castellana
AU  - Juan Omar Gómez
PY  - 2026
DA  - 2026/09/25
PB  - arXiv
DO  - 10.48550/arxiv.2609.31030
UR  - https://arxiv.org/abs/2609.31030
AB  - We establish a Chouinard-type theorem for modules over algebras of cochains on the classifying spaces of a broad class of infinite groups, allowing commutative ring spectra as coefficients. We then use this result to study finiteness properties of the integral cohomology rings of certain infinite groups, as well as stratification of the corresponding module categories. In particular, we complete the (co)stratification of module categories associated to homotopical groups over fields of positive characteristic.
ER  -