广义Bunce-Deddens代数
Generalized Bunce-Deddens algebras
摘要:
定义了一类广义的交叉积C* 代数C(G)xG,其中G是离散可数顺从剩余有限群,G是G的profinite完备化.我们证明了它们是酉可分的单核拟对角C* 代数-代数,或实秩零,稳定秩一,具有投影的可比性和唯一迹.
英文摘要:
We define a broad class of crossed product C*-algebras of the form C(G)xG, where G is a discrete countable amenable residually finite group, and G is a profinite completion of G. We show that they are unital separable simple nuclear quasidiagonal C*-algebras, or real rank zero, stable rank one, with comparability of projections and with a unique trace.
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