Weak expectations of discrete quantum group algebras and crossed products

TL;DR

This paper explores the weak expectation property in the context of discrete quantum group C*-algebras and their crossed products, extending classical group results to quantum groups.

Contribution

It introduces analogues of the weak expectation property for discrete quantum groups and analyzes their crossed products, advancing the understanding of quantum group C*-algebras.

Findings

Established weak expectation property analogues for discrete quantum groups

Analyzed crossed products with amenable discrete quantum groups

Extended classical group C*-algebra results to quantum setting

Abstract

In this article we study analogues of the weak expectation property of discrete group C*-algebras and their crossed products, in the discrete quantum group setting, i.e., discrete quantum group C*-algebras and crossed products of C*-algebras with amenable discrete quantum groups.