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C*-ideals generated by polynomials

Published online by Cambridge University Press:  20 January 2009

Paul Tapper
Paul Tapper
Affiliation:
Department of pure Mathematics, Leeds University, Leeds, LS2 9JT, United Kingdom E-mail address: [email protected]
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The *-algebra A1 is defined to be the free unital *-algebra with one generator x. A *-ideal I of A1 is defined to be a C*-ideal if A1/I may be embedded into a C*-algebra. It is proved that if I is a *-ideal of A1 generated by polynomials in A1, then I is a C*-ideal. This is not true for general *-ideals of A1.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 42 , Issue 2 , June 1999 , pp. 305 - 309
Copyright
Copyright © Edinburgh Mathematical Society 1999

References

REFERENCES

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3.Tapper, P. N., Embedding *-algebras into C*-algebras and C*-ideals generated by words, J. Operator Theory, submitted.Google Scholar