@article {
author = {Mihara, Tomoki},
title = {Schneider-Teitelbaum duality for locally profinite groups},
journal = {Categories and General Algebraic Structures with Applications},
volume = {14},
number = {1},
pages = {119-166},
year = {2021},
publisher = {Shahid Beheshti University},
issn = {2345-5853},
eissn = {2345-5861},
doi = {10.29252/cgasa.14.1.119},
abstract = {We define monoidal structures on several categories of linear topological modules over the valuation ring of a local field, and study module theory with respect to the monoidal structures. We extend the notion of the Iwasawa algebra to a locally profinite group as a monoid with respect to one of the monoidal structure, which does not necessarily form a topological algebra. This is one of the main reasons why we need monoidal structures. We extend Schneider--Teitelbaum duality to duality applicable to a locally profinite group through the module theory over the generalised Iwasawa algebra, and give a criterion of the irreducibility of a unitary Banach representation.},
keywords = {Iwasawa theory,p-adic,locally profinite group},
url = {https://cgasa.sbu.ac.ir/article_87524.html},
eprint = {https://cgasa.sbu.ac.ir/article_87524_0a893e28ec798a2b4354b71165849781.pdf}
}