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The kernel of the determinant map on certain simple $C^*$-algebras
Let A be a unital separable simple C*-algebra such that either (1) A has real rank zero, strict comparison and cancellation of projections; or (2) A is TAI.Let ∆ T : GL 0 (A) → Eu/T (K 0 (A)) be the universal determinant of de la Harpe and Skandalis.Then for …