Paper Title:

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

Author(s):

Saleh Omran

Taif University,
Faculty of Science,
Taif,
KSA

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

salehomran@yahoo.com

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 S₁^nc. We examine the K-theory of this algebra and the subalgebras S₁^nc/I_k, I_k . Where I_k, for each k, is the ideal in S₁^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 I₂ is commutative.

Full Text PDF: