$K_1$-injectivity of the Paschke dual algebra, and uniqueness

Abstract

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.

44 pages

References in corpus (1)

• Diagonals of normal operators with finite spectrum