On the Takai duality of L^p operator crossed products, II

2023/11/04 by Zhen Wang, Wang, Zhen, Sen Zhu +1
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2311.02386

openalex publication_date 2023/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper aims to study the L^p Takai duality problem raised by N. C. Phillips. Let G be a countable discrete Abelian group, A be a separable unital L^p operator algebra with p∈ [1,∞), and α be an isometric action of G on A. When A is p-incompressible and has unique L^p operator matrix norms, it is proved in this paper that the iterated L^p operator crossed product F^p(G,F^p(G,A,α),α) is isometrically isomorphic to M_G^p⊗_pA if and only if p=2.

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