The Australian Journal of Mathematical Analysis and Applications

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Paper's Title:

C*-algebras Associated Noncommutative Circle and Their K-theory


Saleh Omran

Taif University,
Faculty of Science,

South Valley University,
Faculty of Science,
Math. Dep.


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 S1nc. We examine the K-theory of this algebra and the subalgebras S1nc/Ik, Ik . Where Ik, for each k, is the ideal in S1nc generated by all products of generators hs containing at least k+1 pairwise different generators. Moreover we prove that such algebra divided by the ideal I2 is commutative.

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