Title: Injectivity and crossed products
Abstract: In this talk I shall discuss a strategy to proving that the crossed product functor, from discrete (quantum) group actions to action of the dual compact quantum group, preserves injectivity. The main tool in our strategy is an operator system theoretic version of the crossed product, the Fubini crossed product, and its interpretation as a cotensor product. It also allows us to generalize and simplify several claims on injectivity, proven first in the classical case by Hamana. This talk will be base on joint work in progress with Joeri Ludo de Ro.