Normal coactions of discrete groups extend to the C*-envelope of the operator algebra, resolving an open problem and identifying the C*-envelopes of operator algebras of groupoid-embeddable categories and cancellative right LCM monoids.
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Proves uniqueness theorems for combinatorial C*-algebras from left cancellative small categories using groupoid models and tight representations, generalizing prior results for monoids and higher-rank graphs.
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Normal coactions extend to the C*-envelope
Normal coactions of discrete groups extend to the C*-envelope of the operator algebra, resolving an open problem and identifying the C*-envelopes of operator algebras of groupoid-embeddable categories and cancellative right LCM monoids.
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Uniqueness theorems for combinatorial C*-algebras
Proves uniqueness theorems for combinatorial C*-algebras from left cancellative small categories using groupoid models and tight representations, generalizing prior results for monoids and higher-rank graphs.