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- W2128778827 abstract "Abstract 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 ." @default.
- W2128778827 created "2016-06-24" @default.
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- W2128778827 date "2010-05-05" @default.
- W2128778827 modified "2023-09-25" @default.
- W2128778827 title "A NONCOMMUTATIVE GENERALIZATION OF STONE DUALITY" @default.
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- W2128778827 doi "https://doi.org/10.1017/s1446788710000145" @default.
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