The KO∗-rings of BTm, the Davis–Januszkiewicz spaces and certain toric manifolds

This paper contains an explicit computation of the KO∗-ring structure of an m-fold product of CP∞, the Davis–Januszkiewicz spaces and of toric manifolds which have trivialSq2-homology. A key ingredient is the stable splitting of the Davis–Januszkiewicz spaces given by Bahri et al. (2009, 2010) [6,7].