English

A note on noncommutative CW-spectra

Algebraic Topology 2025-08-15 v2 Operator Algebras

Abstract

We use the machinery of arXiv:2009.07539 to give an alternative proof of one of the main results of arXiv:2101.09775. This result states that the category of noncommutative CW-spectra can be modelled as the category of spectral presheaves on a certain category M, whose objects can be thought of as "suspension spectra of matrix algebras". The advantage of our proof is that it mainly relies on well-known results on (stable) model categories.

Cite

@article{arxiv.2201.04894,
  title  = {A note on noncommutative CW-spectra},
  author = {Thomas Blom},
  journal= {arXiv preprint arXiv:2201.04894},
  year   = {2025}
}

Comments

v2: updated references, some minor improvements. 16 pages

R2 v1 2026-06-24T08:48:45.823Z