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Involutory *-antiautomorphisms on On
Published online by Cambridge University Press: 24 October 2008
Extract
Let n ℕ{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. If is a unital *-endomorphism of On then, as shown in 2, is a unitary determining by 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