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arXiv · 2106.13370

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

Jireh Loreaux·P. W. Ng·Arindam Sutradhar
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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.

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Jireh Loreaux, P. W. Ng, Arindam Sutradhar. 2021-06-25. $K_1$-injectivity of the Paschke dual algebra, and uniqueness. https://arxiv.org/abs/2106.13370

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