$\widetilde A_2$群的调和上链与K-理论
Harmonic cochains and K-theory for $\widetilde A_2$ groups
摘要：
若$Γ$是作用在$\widetilde A_2$上的无挠的$\widetilde A_2$群，构造$Δ$，且$\fk A_Γ$是伴随的边界$C^*$ -代数，则证明了$K_0(\fk A_Γ)\otimes \bb R \cong \bb R^{2β_2}$，其中$β_2=\dim_\bb R H^2(Γ, \bb R)$ .
英文摘要：
If $Γ$ is a torsion free $\widetilde A_2$ group acting on an $\widetilde A_2$ building $Δ$, and $\fk A_Γ$ is the associated boundary $C^*$-algebra, it is proved that $K_0(\fk A_Γ)\otimes \bb R \cong \bb R^{2β_2}$, where $β_2=\dim_\bb R H^2(Γ, \bb R)$.
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