@article {
author = {Hadwin, D.},
title = {A note on lifting projections},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {41},
number = {Issue 7 (Special Issue)},
pages = {117-122},
year = {2015},
publisher = {Springer and the Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Suppose $\pi:\mathcal{A}\rightarrow \mathcal{B}$ is a surjective unital $\ast$-homomorphism between C*-algebras $\mathcal{A}$ and $\mathcal{B}$, and $0\leq a\leq1$ with $a\in \mathcal{A}$. We give a sufficient condition that ensures there is a proection $p\in \mathcal{A}$ such that $\pi \left( p\right) =\pi \left( a\right) $. An easy consequence is a result of [L. G. Brown and G. k. Pedersen, C*-algebras of real rank zero, \textit{J. Funct. Anal.} {99} (1991) 131--149] that such a $p$ exists when $\mathcal{A}$ has real rank zero.},
keywords = {C*-algebra,projection},
url = {http://bims.iranjournals.ir/article_727.html},
eprint = {http://bims.iranjournals.ir/article_727_582e0ada23e3758cdf98387770deec3b.pdf}
}