English

Biased permutative equivariant categories

Algebraic Topology 2020-04-02 v2 Category Theory

Abstract

For a finite group G, we introduce the complete suboperad QGQ_G of the categorical G-Barratt-Eccles operad PGP_G. We prove that PGP_G is not finitely generated, but QGQ_G is finitely generated and is a genuine EE_\infty G-operad (i.e., it is NN_\infty and includes all norms). For G cyclic of order 2 or 3, we determine presentations of the object operad of QGQ_G and conclude with a discussion of algebras over QGQ_G, which we call biased permutative equivariant categories.

Keywords

Cite

@article{arxiv.1907.00933,
  title  = {Biased permutative equivariant categories},
  author = {Kayleigh Bangs and Skye Binegar and Young Kim and Kyle Ormsby and Angélica M. Osorno and David Tamas-Parris and Livia Xu},
  journal= {arXiv preprint arXiv:1907.00933},
  year   = {2020}
}

Comments

To appear in HHA

R2 v1 2026-06-23T10:09:04.196Z