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We look for generalizations of the Brown-Douglas-Fillmore essential codimension result, leading to interesting local uniqueness theorems in $KK$-theory. We also study the structure of Paschke dual algebras.
22 pages
Mathematics - Operator Algebras, FOS: Mathematics, Operator Algebras (math.OA), 19K35, 19K56 (Primary) 46L80, 47C15, 47B15 (Secondary)
Mathematics - Operator Algebras, FOS: Mathematics, Operator Algebras (math.OA), 19K35, 19K56 (Primary) 46L80, 47C15, 47B15 (Secondary)
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