ar X iv : 1 71 1 . 01 90 3 v 1 [ m at h . R A ] 6 N ov 2 01 7 DIAGONAL - PRESERVING ISOMORPHISMS OF ÉTALE GROUPOID ALGEBRAS
نویسنده
چکیده
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.
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The universal R–matrix for a quantized Poincaré algebra P(3 + 1) introduced by Ballesteros et al is evaluated. The solution is obtained as a specific case of a formulated multidimensional generalization to the non–standard (Jordanian) quantization of sl(2).
متن کاملar X iv : q - a lg / 9 71 10 01 v 1 3 N ov 1 99 7 Universal R – matrix for null – plane quantized Poincaré algebra
The universal R–matrix for a quantized Poincaré algebra P(3 + 1) introduced by Ballesteros et al is evaluated. The solution is obtained as a specific case of a formulated multidimensional generalization to the non–standard (Jordanian) quantization of sl(2).
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