Involutory -antiautomorphisms on On

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 rela...

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Bibliographic Details
Published in:Mathematical proceedings of the Cambridge Philosophical Society 1992-03, Vol.111 (2), p.319-323
Main Author: Stacey, P. J.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Functional analysis
Mathematical analysis
Mathematics
Sciences and techniques of general use
Online Access:Get full text
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Summary: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.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004100075411