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C*-ideals generated by polynomials
Published online by Cambridge University Press: 20 January 2009
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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.
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- Copyright © Edinburgh Mathematical Society 1999
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