Synthetic equivariant spectra for finite abelian groups and motivic homotopy theory
With Lucas Piessevaux. Draft available here.
For any finite abelian group \(A\), we introduce a category of synthetic $A$-spectra, which generalizes the category of even \(\mathrm{MU}\)-synthetic spectra introduced by Pstrągowski. For any prime \(p\), we show that this category is \(p\)-complete equivalent to a cellular subcategory of the \(\mathbb{C}\)-motivic \(A\)-equivariant stable homotopy category, providing it with a purely topological model.