Purely infinite locally compact Hausdorff \'{e}tale groupoids and their $C^*$-algebras

18 Nov 2020 Ma Xin

In this paper, we introduce properties including groupoid comparison, pure infiniteness and paradoxical comparison as well as a new algebraic tool called groupoid semigroup for locally compact Hausdorff \'{e}tale groupoids. We show these new tools help establishing pure infiniteness of reduced groupoid $C^*$-algebras... (read more)

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • OPERATOR ALGEBRAS
  • DYNAMICAL SYSTEMS