BoundaryC⁎-algebras of triangle geometries

Autor:	Guyan Robertson
Rok vydání:	2014
Předmět:	Pure mathematics Cuntz algebra Crossed product Group (mathematics) Operator (physics) Boundary (topology) Order (group theory) Type (model theory) Automorphism Analysis Mathematics
Zdroj:	Journal of Functional Analysis. 266:6319-6334
ISSN:	0022-1236
DOI:	10.1016/j.jfa.2014.02.031
Popis:	Let Δ be a building of type A ˜ 2 and order q , with maximal boundary Ω . Let Γ be a group of type preserving automorphisms of Δ which acts regularly on the chambers of Δ. Then the crossed product C ⁎ -algebra C ( Ω ) ⋊ Γ is isomorphic to M 3 ( q + 1 ) ⊗ O q 2 ⊗ O q 2 , where O n denotes the Cuntz algebra generated by n isometries whose range projections sum to the identity operator.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::397f2ca3562d8b7bebe426641f5a679d https://doi.org/10.1016/j.jfa.2014.02.031 Zobrazit plný text záznamu Full Text from ScienceDirect