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

• Date: 2009
• Main Authors: Podkolzin, G. B., Chapovsky, Yu., Подколзин, Г. Б., Чаповский, Ю. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3016
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 bicrosse...