TY - JOUR
ID - 87524
TI - Schneider-Teitelbaum duality for locally profinite groups
JO - Categories and General Algebraic Structures with Applications
JA - CGASA
LA - en
SN - 2345-5853
AU - Mihara, Tomoki
AD - University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8571 Japan
Y1 - 2021
PY - 2021
VL - 14
IS - 1
SP - 119
EP - 166
KW - Iwasawa theory
KW - p-adic
KW - locally profinite group
DO - 10.29252/cgasa.14.1.119
N2 - 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.
UR - https://cgasa.sbu.ac.ir/article_87524.html
L1 - https://cgasa.sbu.ac.ir/article_87524_0a893e28ec798a2b4354b71165849781.pdf
ER -