The extremal algebra on two hermitians with square 1

Crabb, M.J., Duncan, J. and McGregor, C.M. (2002) The extremal algebra on two hermitians with square 1. Glasgow Mathematical Journal, 44(2), pp. 255-260. (doi: 10.1017/S0017089502020062)

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Let Ea(u,v) be the extremal algebra determined by two hermitians u and v with u2 = v2 = 1. We show that: Ea(u,v) = {f=gu:f,g ε C(T)}, where T is the unit circle; Ea(u,v) is C*-equivelant to C*(G), where G is the infinite dihedral group; most of the hermitian elements k od Ea(u,v) have the property that kn is hermitian for all odd n but for no even n; any two hermitian words in G generate an isometric copy of Ea(u,v) in Ea(u,v).

Item Type:Articles
Glasgow Author(s) Enlighten ID:McGregor, Dr Colin and Crabb, Dr Michael
Authors: Crabb, M.J., Duncan, J., and McGregor, C.M.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Glasgow Mathematical Journal
Publisher:Cambridge University Press
ISSN (Online):1469-509X
Published Online:25 July 2002
Copyright Holders:Copyright © 2002 Glasgow Mathematical Journal Trust
First Published:First published in Glasgow Mathematical Journal 44(2):255-260
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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