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Lookup NU author(s): Professor Guyan Robertson
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If $\Gamma$ is a torsion free $\widetilde A_2$ group acting on an $\widetilde A_2$ building $\Delta$, and $\fk A_{\Gamma}$ is the associated boundary $C^*$-algebra, it is proved that $K_0(\fk A_\Gamma)\otimes \bb R \cong \bb R^{2\beta_2}$, where $\beta_2=\dim_\bb R H^2(\Gamma, \bb R)$.
Author(s): Robertson G
Publication type: Article
Publication status: In Press
Journal: Groups, Geometry and Dynamics
Year: 2013
ISSN (print): 1661-7207
ISSN (electronic): 1661-7215
Publisher: European Mathematical Society Publishing House