The RFD and KAC quotients of the Hopf*-algebras of universal orthogonal quantum groups

TL;DR

This paper identifies the Kac and RFD quotients of Hopf *-algebras linked to universal orthogonal quantum groups, advancing understanding of their algebraic structures.

Contribution

It provides the first explicit determination of the Kac and RFD quotients for these specific quantum group algebras.

Findings

Kac quotient explicitly characterized

RFD quotient explicitly characterized

Enhanced understanding of algebraic structure of quantum groups

Abstract

We determine the Kac quotient and the RFD (residually finite dimensional) quotient for the Hopf *-algebras associated to universal orthogonal quantum groups.