A note on lifting projections

نویسنده

  • D. Hadwin College of Engineering and Physical Sciences, University of New Hampshire, Durham, USA.
چکیده مقاله:

Suppose $pi:mathcal{A}rightarrow mathcal{B}$ is a surjective unital $ast$-homomorphism between C*-algebras $mathcal{A}$ and $mathcal{B}$, and $0leq aleq1$ with $ain  mathcal{A}$. We give a sufficient condition that ensures there is a proection $pin mathcal{A}$ such that $pi left( pright) =pi left( aright) $. 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.

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a note on lifting projections

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عنوان ژورنال

دوره 41  شماره Issue 7 (Special Issue)

صفحات  117- 122

تاریخ انتشار 2015-12-01

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