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- W4297524403 abstract "In this paper we generalize the notion of essential codimension of Brown, Douglas, and Fillmore using $KK$-theory and prove a result which asserts that there is a unitary of the form `identity + compact' which gives the unitary equivalence of two projections if the `essential codimension' of two projections vanishes for certain $Csp*$-algebras employing the proper asymptotic unitary equivalence of $KK$-theory found by M. Dadarlat and S. Eilers. We also apply our result to study the projections in the corona algebra of $C(X)otimes B$ where $X$ is $[0,1]$, $(-infty, infty)$, $[0,infty)$, and $[0,1]/{0,1}$." @default.
- W4297524403 created "2022-09-29" @default.
- W4297524403 creator A5089685506 @default.
- W4297524403 date "2010-09-14" @default.
- W4297524403 modified "2023-09-24" @default.
- W4297524403 title "Proper asymptotic unitary equivalence in $KK$-theory and projection lifting from the corona algebra" @default.
- W4297524403 doi "https://doi.org/10.48550/arxiv.1009.2592" @default.
- W4297524403 hasPublicationYear "2010" @default.
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