symmetric monoidal (∞,1)-category of spectra
The concept of a bimodule category is a categorification of that of bimodule, hence the two-sided version of the notion of a module category.
Where a bimodule is an abelian group acted on by two rings, so a bimodule category is a suitable category suitably acted on by two monoidal categories, hence a 2-sided module category.
Justin Greenough, Monoidal 2-structure of Bimodule Categories, Journal of Algebra 324 8 (2010) 1818-1859 [arXiv:0911.4979, doi:10.1016/j.jalgebra.2010.06.018]
Chris Douglas, Chris Schommer-Pries, Noah Snyder, Dualizable tensor categories, Memoirs of the American Mathematical Society (2020) [arXiv:1312.7188, ams:memo-268-1308]
Last revised on December 12, 2022 at 11:05:14. See the history of this page for a list of all contributions to it.