Abstract
We prove that a conditional expectation on a compact quantum group that satisfies certain conditions can be decomposed into a composition of two conditional expectations one of which is associated with quantum double cosets and the other preserves the counit.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 5, pp. 644–653, May, 2005.
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Kalyuzhnyi, A.A., Podkolzin, G.B. & Chapovskii, Y.A. Conditional Expectations on Compact Quantum Groups and Quantum Double Cosets. Ukr Math J 57, 765–775 (2005). https://doi.org/10.1007/s11253-005-0226-3
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DOI: https://doi.org/10.1007/s11253-005-0226-3