English

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

Operator Algebras 2021-08-10 v2 K-Theory and Homology

Abstract

We prove that a large class of Paschke dual algebras of simple unital C*-algebras are K1K_1-injective. As a consequence, we obtain interesting KKKK-uniqueness theorems which generalize the Brown--Douglas--Fillmore essential codimension property.

Keywords

Cite

@article{arxiv.2106.13370,
  title  = {$K_1$-injectivity of the Paschke dual algebra, and uniqueness},
  author = {Jireh Loreaux and P. W. Ng and Arindam Sutradhar},
  journal= {arXiv preprint arXiv:2106.13370},
  year   = {2021}
}

Comments

44 pages