English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we generalize the notion of essential codimension of Brown,Douglas, and Fillmore using $\KK$-theory and prove a result which asserts thatthere is a unitary of the form `identity + compact' which gives the unitaryequivalence of two projections if the `essential codimension' of twoprojections vanishes for certain $C\sp*$-algebras employing the properasymptotic unitary equivalence of $\KK$-theory found by M. Dadarlat and S.Eilers. We also apply our result to study the projections in the corona algebraof $C(X)\otimes B$ where $X$ is $[0,1]$, $(-\infty, \infty)$, $[0,\infty)$, and$[0,1]/\{0,1\}$.

Proper asymptotic unitary equivalence in $\KK$-theory and projection lifting from the corona algebra