Remarks on Essential Codimension

Abstract

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

References in corpus (2)

• Kadison's Pythagorean Theorem and essential codimension
• Restricted diagonalization of finite spectrum normal operators and a theorem of Arveson

Cited by in corpus (2)

• $K_1$-injectivity of the Paschke dual algebra, and uniqueness
• The index of a pair of pure states and the interacting integer quantum Hall effect