Partial tensor-product functors and crossed-product functors

2021/12/08 by Julian Kranz, Kranz, Julian, Timo Siebenand +1
Mathematics · Physics and Astronomy · #46L55 (Primary) 46M15 #46L80(Secondary) #Advanced Operator Algebra Research #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2112.04164

openalex publication_date 2021/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a given discrete group G, we apply results of Kirchberg on exact and injective tensor products of C^*-algebras to give an explicit description of the minimal exact correspondence crossed-product functor and the maximal injective crossed-product functor for G in the sense of Buss, Echterhoff and Willett. In particular, we show that the former functor dominates the latter.

Related

• Tensor-product coaction functors
• Tensor D coaction functors
• Purely infinite C*-algebras arising from crossed products
• The minimal exact crossed product
• C*-crossed products by partial actions and actions of inverse semigroups