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- ItemContractive idempotents on locally compact quantum groups(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2012) Neufang, Matthias; Salmi, Pekka; Skalski, Adam; Spronk, Nicogeneral 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.