Geodesic
The Extremal Algebra on Two Hermitians With Square 1
Glasgow mathematical journal, Tome 44 (2002) no. 2, pp. 255-260

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Let Ea(u,v) be the extremal algebra determined by two hermitians u and v with u^2=v^2=1. We show that: Ea(u,v)={f+gu:f,g\in C(T)} , where [] is the unit circle; Ea(u,v) is C^*-equivalent to C^*({\cal G}), where {\cal G} is the infinite dihedral group; most of the hermitian elements k of Ea(u,v) have the property that k^n is hermitian for all odd n but for no even n; any two hermitian words in {\cal G} generate an isometric copy of Ea(u,v) in Ea(u,v). 
Crabb, M. J.; Duncan, J.; McGregor, C. M. The Extremal Algebra on Two Hermitians With Square 1. Glasgow mathematical journal, Tome 44 (2002) no. 2, pp. 255-260. doi: 10.1017/S0017089502020062
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     title = {The {Extremal} {Algebra} on {Two} {Hermitians} {With} {Square} 1},
     journal = {Glasgow mathematical journal},
     pages = {255--260},
     year = {2002},
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