Geodesic
SIMULTANEOUS LIFTING FROM IRREDUCIBLE REPRESENTATIONS OF $C^*$-ALGEBRAS
Glasgow mathematical journal, Tome 47 (2005) no. 1, pp. 195-204

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DOI

Given a sequence $(\pi_n)$ of irreducible representations of a liminal $C^*$-algebra $A$, and a sequence $(b_n)$ of trace class operators with $b_n\in \pi_n(A)$, we investigate necessary conditions and sufficient conditions for the existence of a simultaneous lifting $a\in A$ such that, for each $n$, the trace of $\sigma(a)$ is bounded for irreducible representations $\sigma$ in a neighbourhood of $\pi_n$.
DOI : 10.1017/S0017089504002162
Mots-clés : 46L05, 46L30 
ARCHBOLD, ROBERT; LAZAR, ALDO. SIMULTANEOUS LIFTING FROM IRREDUCIBLE REPRESENTATIONS OF $C^*$-ALGEBRAS. Glasgow mathematical journal, Tome 47 (2005) no. 1, pp. 195-204. doi: 10.1017/S0017089504002162
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     title = {SIMULTANEOUS {LIFTING} {FROM} {IRREDUCIBLE} {REPRESENTATIONS} {OF} $C^*${-ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {195--204},
     year = {2005},
     volume = {47},
     number = {1},
     doi = {10.1017/S0017089504002162},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089504002162/}
}
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