K₁-injectivity of the Paschke dual algebra, and uniqueness
classification
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math.KT
keywords
algebrasdualpaschkeuniquenessalgebrabrown--douglas--fillmoreclasscodimension
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We prove that a large class of Paschke dual algebras of simple unital C*-algebras are $K_1$-injective. As a consequence, we obtain interesting $KK$-uniqueness theorems which generalize the Brown--Douglas--Fillmore essential codimension property.
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