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Information Journal Paper

Title

Schneider-Teitelbaum duality for locally profinite groups

Pages

  119-165

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.

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    APA: Copy

    Mihara, Tomoki. (2021). Schneider-Teitelbaum duality for locally profinite groups. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, 14(1 ), 119-165. SID. https://sid.ir/paper/1057436/en

    Vancouver: Copy

    Mihara Tomoki. Schneider-Teitelbaum duality for locally profinite groups. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS[Internet]. 2021;14(1 ):119-165. Available from: https://sid.ir/paper/1057436/en

    IEEE: Copy

    Tomoki Mihara, “Schneider-Teitelbaum duality for locally profinite groups,” CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, vol. 14, no. 1 , pp. 119–165, 2021, [Online]. Available: https://sid.ir/paper/1057436/en

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