Certain class of higher-dimensional simplicial complexes and universal C(∗)-algebras

ABSTRACT: In this article we introduce a universal C(∗)-algebras associated to certain simplicial flag complexes. We denote it by [Image: see text]it is a subalgebra of the noncommutative n-sphere which introduced by J.Cuntz. We present a technical lemma to determine the quotient of the skeleton fil...

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Detalles Bibliográficos
Autor principal: Omran, Saleh
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2014
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4048662/
https://www.ncbi.nlm.nih.gov/pubmed/24936387
http://dx.doi.org/10.1186/2193-1801-3-258
Descripción
Sumario:ABSTRACT: In this article we introduce a universal C(∗)-algebras associated to certain simplicial flag complexes. We denote it by [Image: see text]it is a subalgebra of the noncommutative n-sphere which introduced by J.Cuntz. We present a technical lemma to determine the quotient of the skeleton filtration of a general universal C(∗)-algebra associated to a simplicial flag complex. We examine the K-theory of this algebra. Moreover we prove that any such algebra divided by the ideal I(2) is commutative. 2000 AMS: 19 K 46

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