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
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author Omran, Saleh
author_facet Omran, Saleh
author_sort Omran, Saleh
collection PubMed
description 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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spelling pubmed-40486622014-06-16 Certain class of higher-dimensional simplicial complexes and universal C(∗)-algebras Omran, Saleh Springerplus Research 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 Springer International Publishing 2014-05-21 /pmc/articles/PMC4048662/ /pubmed/24936387 http://dx.doi.org/10.1186/2193-1801-3-258 Text en © Omran; licensee Springer. 2014 This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.
spellingShingle Research
Omran, Saleh
Certain class of higher-dimensional simplicial complexes and universal C(∗)-algebras
title Certain class of higher-dimensional simplicial complexes and universal C(∗)-algebras
title_full Certain class of higher-dimensional simplicial complexes and universal C(∗)-algebras
title_fullStr Certain class of higher-dimensional simplicial complexes and universal C(∗)-algebras
title_full_unstemmed Certain class of higher-dimensional simplicial complexes and universal C(∗)-algebras
title_short Certain class of higher-dimensional simplicial complexes and universal C(∗)-algebras
title_sort certain class of higher-dimensional simplicial complexes and universal c(∗)-algebras
topic Research
url 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
work_keys_str_mv AT omransaleh certainclassofhigherdimensionalsimplicialcomplexesanduniversalcalgebras

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