Invariant prime ideals in equivariant Lazard rings

Abstract

Let A be an abelian compact Lie group. We compute the spectrum of invariant prime ideals of the A-equivariant Lazard ring, or equivalently the spectrum of points of the moduli stack of A-equivariant formal groups. We further show that this spectrum is homeomorphic to the Balmer spectrum of compact A-spectra, with the comparison map induced by equivariant complex bordism homology.