Derived equivalences of upper-triangular ring spectra via lax limits

Abstract

We extend a theorem of Ladkani concerning derived equivalences between upper-triangular matrix rings from ordinary rings to ring spectra. Our result also extends an analogous theorem of Maycock for differential graded algebras.

arXiv comment7 pages. v2: Changed title. Added reference to previous work of Maycock and other minor edits. v3: Changed title (again). Added some applications of the main theorem. Accepted for publication in C. R. Math. Acad. Sci. Paris

References in corpus (6)

• Categorical resolutions of irrational singularities
• Relative Calabi-Yau structures
• Derived equivalences of triangular matrix rings arising from extensions of tilting modules
• Relative critical loci and quiver moduli
• Generalised BGP reflection functors via the Grothendieck construction
• Relative cluster categories and Higgs categories with infinite-dimensional morphism spaces