Translations in quantum groups
Operator Algebras
2018-12-04 v2 Quantum Algebra
Abstract
Let be the Hopf -algebra of continuous functions on a (locally) compact quantum group of either reduced or full type. We show that endomorphisms of that respect its right regular comodule structure are translations by elements of largest classical subgroup of . Furthermore, we show that for compact such an endomorphism is automatically an automorphism regardless of the quantum group norm on the -algebra ; this answers a question of Piotr M. Hajac.
Keywords
Cite
@article{arxiv.1810.00370,
title = {Translations in quantum groups},
author = {Alexandru Chirvasitu},
journal= {arXiv preprint arXiv:1810.00370},
year = {2018}
}
Comments
8 pages + references; changes reflecting referee suggestions: proof of Theorem 2.13 changed so as to appeal to reference [6]