Holomorphic Reflexivity for Locally Finite and Profinite Groups: The Abelian and General Cases

Akbarov’s theory of holomorphic reflexivity for topological Hopf algebras has been developed in two directions, namely, by the complication definitions when expanding scope and their simplification restricting. In framework latter approach, we establish associated with locally finite countable groups second-countable profinite groups. Abelian case, is described terms close to classical ones.