Trees of multidisks as Gromov boundaries of amalgamated products

2016/01/31 by Dominika Pawlik, Pawlik, Dominika, Aleksander Zabłocki +1
Mathematics · #20F65 #54D80 #57M07 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1602.00335

openalex publication_date 2016/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe, under some additional technical assumptions, the Gromov boundary of the free product of several G_i's amalgamated wrt. H, where G_i are hyperbolic groups with boundary homeomorphic to a densely punctured n-sphere, and H is their common subgroup corresponding to a peripheral sphere in each of the ∂ G_i's.

Related

• A product of trees as universal space for hyperbolic groups
• Hyperbolic groups with homeomorphic Gromov boundaries
• Rationality of the Gromov Boundary of Hyperbolic Groups
• Subdivision rules for all Gromov hyperbolic groups
• The visual boundary of hyperbolic free-by-cyclic groups