Inductive limits of compact quantum groups and their unitary representations

DOI10.1007/S11005-021-01468-0arXiv1908.03988MaRDI QIDQ6323525

Publication date: 11 August 2019

Abstract: We will introduce the notion of inductive limits of compact quantum groups as

W^{*}

-bialgebras equipped with some additional structures. We also formulate their unitary representation theories. Those give a more explicit representation-theoretic meaning to our previous study of quantized characters associated with a given inductive system of compact quantum groups. As a byproduct, we will give an explicit representation-theoretic interpretation to some transformations that play an important role in the analysis of

q

-central probability measures on the paths in the Gelfand-Tsetlin graph.

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ordinary representations and characters (20C15) Quantizations, deformations for selfadjoint operator algebras (46L65)

This page was built for publication: Inductive limits of compact quantum groups and their unitary representations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6323525)