科研之友
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摘要
We prove that the category of boolean inverse monoids is dually equivalent to the category of boolean groupoids. This generalizes the classical Stone duality between boolean algebras and boolean spaces. As an instance of this duality, we show that the boolean inverse monoid C(n) associated with the Cuntz groupoid G(n) is the strong orthogonal completion of the polycyclic (or Cuntz) monoid P(n). The group of units of C(n) is the Thompson group V(n,1).
- 出版日期2010-6
