Contractive Idempotents on Locally Compact Quantum Groups

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Date
2012MFO Scientific Program
Research in Pairs 2012Series
Oberwolfach Preprints;2012,19Author
Neufang, Matthias
Salmi, Pekka
Skalski, Adam
Spronk, Nico
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Show full item recordOWP-2012-19
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.