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The reduced group C*-algebra of a triangle building

Published online by Cambridge University Press:  17 April 2009

A.M. Mantero  and
Z. Zappa
A.M. Mantero
Affiliation:
Istituto di Discipline scientifiche e tecnicheFacoltà di ArchitetturaUniversità di Genova, 16123 GenovaItaly, e-mail: mantero@dima.unige.it
Z. Zappa
Affiliation:
Dipartimento di MatematicaUniversità di Genova, 16146 GenovaItaly, e-mail: zappa@dima.unige.it
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Abstract

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Let Δ be an affine building of type Ã2 and let Γ be a discrete group of type-rotating automorphisms acting simply transitively on the vertices of δ. We prove that the reduced group C*-algebra is simple. To prove this result we use the sufficient condition for the simplicity of given in a recent paper by M. Bekka, M. Cowling and P. de la Harpe.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 3 , June 1998 , pp. 461 - 478
Copyright
Copyright © Australian Mathematical Society 1998

References

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