Noncommutative Geometry Seminar

We introduce the notion of open quantum subgroups of locally compact quantum groups, and then show the two proposed constructions of induced representations, by Kustermans and by Vaes, are both equivalent in the setting of open quantum subgroups to Rieffel's (rather simple) construction of induced representations in the context of C*-algebras. This talk is based on joint work with Pawel Kasprzak, Adam Skalski, and Piotr Soltan.