Busemann points of infinite graphs

DOI10.1090/S0002-9947-06-03877-3zbMath1174.46035arXivmath/0309291MaRDI QIDQ5469968

Corran Webster, Adam Winchester

Publication date: 29 May 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309291

zbMATH Keywords

Cayley graphgroup \(C^*\)-algebraquantum metric spaceBusemann point

Mathematics Subject Classification ID

Geometric group theory (20F65) Noncommutative differential geometry (46L87) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (11)

Toric varieties vs. horofunction compactifications of polyhedral norms ⋮ Metric compactification of infinite Sierpiński carpet graphs ⋮ Connectedness of spheres in Cayley graphs ⋮ Extremal length boundary of the Teichmüller space contains non-Busemann points ⋮ On laws of large numbers for random walks ⋮ Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary ⋮ The horofunction boundary of a Gromov hyperbolic space ⋮ Iterated Minkowski sums, horoballs and north-south dynamics ⋮ The action of a nilpotent group on its horofunction boundary has finite orbits. ⋮ The horofunction boundary of the Hilbert geometry ⋮ BUSEMANN POINTS OF ARTIN GROUPS OF DIHEDRAL TYPE

Cites Work

• Metrics on states from actions of compact groups
• Metrics on state spaces
• Group \(C^*\)-algebras as compact quantum metric spaces
• Amenability and exactness for dynamical systems and their 𝐶*-algebras
• Compact metric spaces, Fredholm modules, and hyperfiniteness
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