Title: Classification of Finite-Dimensional Periodic LCA Groups
by Wayne Lewis (University of Hawaiʻi) as part of Topological Groups
Lecture held in Elysium.
Generalized resolutions of protori have non-Archimedean component a periodic LCA group with finite non-Archimedean dimension. The previous session introduced the notion of non-Archimedean dimension of LCA groups. Applying published results by Dikranjan, Herfort, Hofmann, Lewis, Loth, Mader, Morris, Prodanov, Ross, and Stoyanov, we introduce new minimalist notation and accompanying definitions to clarify the structure of these groups and their Pontryagin duals, enabling a parametrization of the spectrum of resolutions of finite-dimensional protori (the Grothendieck group is a moduli space).