%0 Journal Article
%T Contractive idempotents on locally compact quantum groups
%A Matthias Neufang
%A Pekka Salmi
%A Adam Skalski
%A Nico Spronk
%J Mathematics
%D 2012
%I arXiv
%X 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.
%U http://arxiv.org/abs/1209.6508v2