Showing math.ATShow all
3 papers · 1 filter
math.AT2025
Equivariant Algebraic K-Theories
Donald Yau
A cornerstone of algebraic K-theory is the equivalence between the K-theory machines of May, Segal, and Elmendorf and Mandell. Equivariant algebraic K-theory enriches the theory wi…
math.AT2024
May's Conjecture on Bimonoidal Functors and Multiplicative Infinite Loop Space Theory
Donald Yau
A conjecture of May states that there is an up-to-adjunction strictification of symmetric bimonoidal functors between bipermutative categories. The main result of this paper proves…
math.AT2024
Multifunctorial Equivariant Algebraic K-Theory
Donald Yau
A central question in equivariant algebraic K-theory asks whether there exists an equivariant K-theory machine from genuine symmetric monoidal G-categories to orthogonal G-spectra…