Universality of Some C*-Algebra Generated by a Unitary and a Self-adjoint Idempotent
We prove that there is essentially only one C *-algebra generated by a unitary element u and a self-adjoint idempotent p such that up=pup and up≠pu. This result is related to a theorem of L. Coburn stating that there is essentially only one C *-algebra generated by a non-unitary isometry.
Mathematics Subject Classification (2000)46L05
KeywordsC*-algebra finitely generated universality
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