Contractive idempotents on locally compact quantum groups
Operator Algebras
2013-03-08 v2 Quantum Algebra
Abstract
A general form of contractive idempotent functionals on coamenable locally compact quantum groups is obtained, generalising the result of Greenleaf on contractive measures on locally compact groups. The image of a convolution operator associated to a contractive idempotent is shown to be a ternary ring of operators. As a consequence a one-to-one correspondence between contractive idempotents and a certain class of ternary rings of operators is established.
Cite
@article{arxiv.1209.6508,
title = {Contractive idempotents on locally compact quantum groups},
author = {Matthias Neufang and Pekka Salmi and Adam Skalski and Nico Spronk},
journal= {arXiv preprint arXiv:1209.6508},
year = {2013}
}
Comments
16 pages, v2 contains very minor changes and updates the references. The paper will appear in the Indiana University Journal of Mathematics