2012/12/23 by Rui Palma, Palma, Rui
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Operator Algebras (math.OA)
paper · pdf · doi:10.48550/arxiv.1212.5756
openalex publication_date 2012/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a theory of crossed products by "actions" of Hecke pairs (G, Γ), motivated by applications in non-abelian C^*-duality. Our approach gives back the usual crossed product construction whenever G / Γ is a group and retains many of the aspects of crossed products by groups. In this first of two articles we lay the ^*-algebraic foundations of these crossed products by Hecke pairs and we explore their representation theory.