For locally compact groups K, M, and N such that M and N are subgroups of K, K = M ∙ N and M∩N = {e}, where e is the identity of the group K, we give a complete description and propose a method for the construction of pairs of continuous cocycles used in the structure of bicrossed product with cocycles in terms of continuous 2-cocycles on the groups M, N, and K and 3-cocycles on the group K.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 2, pp. 243–260, February, 2009.
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Podkolzin, G.B., Chapovskii, Y.A. Construction of continuous cocycles for the bicrossed product of locally compact groups. Ukr Math J 61, 292–311 (2009). https://doi.org/10.1007/s11253-009-0206-0
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DOI: https://doi.org/10.1007/s11253-009-0206-0