Boundary quotients of reduced semigroup C*-algebras are modeled by reductions of Paterson and Spielberg groupoids under new boundary regularity conditions.
Renault, The Fourier Algebra of a Measured Groupoid and Its Multipliers, Journal of Functional Analysis 145 (1997), no
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Boundary quotients of C$^*$-algebras of left cancellative monoids and their groupoid models
Boundary quotients of reduced semigroup C*-algebras are modeled by reductions of Paterson and Spielberg groupoids under new boundary regularity conditions.