Abstract
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.
First author partially supported by CEAF, IST, Technical Univ. of Lisbon, and “Fundação para a Ciência e a Tecnologia” through the program FCT/FEDER/POCTI/MAT/59972/2004.
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References
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Dedicated to Nikolai Vasilevski on the occasion of his 60th birthday
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Mascarenhas, H., Silbermanna, B. (2010). Universality of Some C *-Algebra Generated by a Unitary and a Self-adjoint Idempotent. In: Duduchava, R., Gohberg, I., Grudsky, S.M., Rabinovich, V. (eds) Recent Trends in Toeplitz and Pseudodifferential Operators. Operator Theory: Advances and Applications, vol 210. Springer, Basel. https://doi.org/10.1007/978-3-0346-0548-9_10
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DOI: https://doi.org/10.1007/978-3-0346-0548-9_10
Publisher Name: Springer, Basel
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