2017
Том 69
№ 9

All Issues

Construction of continuous cocycles for the bicrossed product of locally compact groups

Chapovsky Yu., Podkolzin G. B.

Full text (.pdf)


Abstract

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 $K$.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 2, pp 292-311.

Citation Example: Chapovsky Yu., Podkolzin G. B. Construction of continuous cocycles for the bicrossed product of locally compact groups // Ukr. Mat. Zh. - 2009. - 61, № 2. - pp. 243-260.

Full text