


Paper's Title:
C^{*}algebras Associated Noncommutative Circle and Their Ktheory
Author(s):
Saleh Omran
Taif University,
Faculty of Science,
Taif,
KSA
South Valley University,
Faculty of Science,
Math. Dep.
Qena,
Egypt
Abstract:
In this article we investigate the universal C^{*}algebras associated to certain 1  dimensional simplicial flag complexes which describe the noncommutative circle. We denote it by S_{1}^{nc}. We examine the Ktheory of this algebra and the subalgebras S_{1}^{nc}/I_{k}, I_{k} . Where I_{k}, for each k, is the ideal in S_{1}^{nc} generated by all products of generators h_{s} containing at least k+1 pairwise different generators. Moreover we prove that such algebra divided by the ideal I_{2} is commutative.
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