Torsion in the full orbifold K-theory of abelian symplectic quotients

Let (M, ω, Φ) be a Hamiltonian T-space and let $${H\subseteq T}$$ be a closed Lie subtorus. Under some technical hypotheses on the moment map Φ, we prove that there is no additive torsion in the integral full orbifold K-theory of the orbifold symplectic quotient [M//H]. Our main technical tool is an extension to the case of moment map level sets the well-known result that components of the moment map of a Hamiltonian T-space M are Morse-Bott …