Boundary 𝐶*-algebras for acylindrical groups

Autor:	Guyan Robertson
Rok vydání:	2008
Předmět:	Pure mathematics Simple (abstract algebra) Applied Mathematics General Mathematics Boundary (topology) Group algebra Algebra over a field Finite tree Lattice (discrete subgroup) K-theory Mathematics
Zdroj:	Proceedings of the American Mathematical Society. 136:3851-3860
ISSN:	1088-6826 0002-9939
DOI:	10.1090/s0002-9939-08-09453-7
Popis:	Let Δ \Delta be an infinite, locally finite tree with more than two ends. Let Γ > Aut ⁡ ( Δ ) \Gamma >\operatorname {Aut}(\Delta ) be an acylindrical uniform lattice. Then the boundary algebra A Γ = C ( ∂ Δ ) ⋊ Γ \mathcal {A}_\Gamma = C(\partial \Delta )\rtimes \Gamma is a simple Cuntz-Krieger algebra whose K-theory is determined explicitly.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::05b8ea43b32408b9610795a55230b9e8 https://doi.org/10.1090/s0002-9939-08-09453-7 Zobrazit plný text záznamu