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Shifts of group-like projections and contractive idempotent functionals for locally compact quantum groups

Shifts of group-like projections and contractive idempotent functionals for locally compact quantum groups

A one-to-one correspondence between shifts of group-like projections on a locally compact quantum group [Formula: see text] which are preserved by the scaling group and contractive idempotent functionals on the dual [Formula: see text] is established. This is a generalization of the Illieā€“Spronkā€™s correspondence between contractive idempotents in the Fourierā€“Stieltjes ā€¦