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Involutory *-antiautomorphisms on On

Published online by Cambridge University Press:  24 October 2008

P. J. Stacey
P. J. Stacey
Affiliation:
Department of Mathematics, La Trobe University, Bundoora, 3083, Victoria, Australia
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Extract

Let nℕ{1} and let S1, , Sn be isometries on an infinite-dimensional Hilbert space such that for each i and . It was shown in 1 that the C*-algebra On generated by S1, , Sn is an infinite simple C*-algebra which is, up to isomorphism, independent of the choice of isometries satisfying the given relations. Ifis a unital *-endomorphism of On then, as shown in 2, is a unitary determiningby the equations (Si) = w*Si and each unitary arises in this way.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 2 , March 1992 , pp. 319 - 323
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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