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Involutory *-antiautomorphisms in Toeplitz algebras

Published online by Cambridge University Press:  24 October 2008

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

Let H be a separable complex Hilbert space with orthonormal basis {ei: i ∈ ℕ}, let s be the unilateral shift defined by sei = ei+1 for each i and let K be the algebra of compact operators on H. The present paper classifies the involutory *-anti-automorphisms in the C*-algebra C*(sn, K) generated by K and a positive integral power sn of s. It is shown that, up to conjugacy by *-automorphisms, there are two such involutory *-antiautomorphisms when n is even and one when n is odd.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 103 , Issue 3 , May 1988 , pp. 473 - 480
Copyright
Copyright © Cambridge Philosophical Society 1988

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