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- W2963912791 abstract "Work of Jean Renault shows that, for topologically principal étale groupoids, a diagonal-preserving isomorphism of reduced C⁎-algebras yields an isomorphism of groupoids. Several authors have proved analogues of this result for ample groupoid algebras over integral domains under suitable hypotheses. In this paper, we extend the known results by allowing more general coefficient rings and by weakening the hypotheses on the groupoids. Our approach has the additional feature that we only need to impose conditions on one of the two groupoids. Applications are given to Leavitt path algebras." @default.
- W2963912791 created "2019-07-30" @default.
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- W2963912791 date "2019-01-01" @default.
- W2963912791 modified "2023-09-27" @default.
- W2963912791 title "Diagonal-preserving isomorphisms of étale groupoid algebras" @default.
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- W2963912791 doi "https://doi.org/10.1016/j.jalgebra.2018.10.024" @default.
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