The primitive ideal space of the partial-isometric crossed product of a\n system by a single automorphism

2017/01/16 by Wicharn Lewkeeratiyutkul, Saeid Zahmatkesh, Lewkeeratiyutkul, Wicharn +1
Mathematics · #46L55 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1701.04196

openalex publication_date 2017/01/16 · openalex created_date 2023/02/19 · openalex updated_date 2026/07/28

Abstract

Let (A,\α) be a system consisting of a C^*-algebra A and an\nautomorphism \α of A. We describe the primitive ideal space of the\npartial-isometric crossed product A\×_\α^ textrmpiso\ℕ\nof the system by using its realization as a full corner of a classical crossed\nproduct and applying some results of Williams and Echterhoff.\n

Related

• The primitive ideal space of the partial-isometric crossed product by automorphic actions of the semigroup ℕ²
• Inducing Primitive Ideals
• The primitive ideal space of the partial-isometric crossed product corresponding to an action induced by the multiplication on p-adic integers
• Crossed product duality for partial C^*-automorphisms
• The ideal structure of reduced crossed products