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math.OA2023
Remarks on computing the Grothendieck rings of C*-algebras
E. Ghamari, C. Ingalls, D. Kucerovsky
In this paper, we present a captivating construction by Grothendieck, originally formulated for algebraic varieties, and adapt it to the realm of C*-algebras. Our main objective is…
math.AC2023
Log Centres of Noncommutative Crepant Resolutions are Kawamata Log Terminal: Remarks on a paper of Stafford and van den Bergh
Colin Ingalls, Takehiko Yasuda
We show that if a finitely generated prime algebra is a finitely generated maximal Cohen-Macaulay module over its centre , and has global dimension equal to , then t…
math.RT2023
A universal sheaf of algebras governing representations of vector fields on quasi-projective varieties
Yuly Billig, Colin Ingalls
We construct a quasi-coherent sheaf of associative algebras which controls a category of -modules over a smooth quasi-projective variety. We establish a local structure theorem…