Kadison's similarity problem asks whether every bounded complex-linear unital algebra homomorphism 
from a unital complex C*-algebra
to the bounded operators on a complex Hilbert
space is similar to a 
-homomorphism. Similarity here means that some bounded
invertible operator 
with bounded inverse makes 
satisfy 
for every 
.
Kadison's Similarity Problem
See also
Bounded Operator, C-Star-Algebra, Hilbert Space, von Neumann AlgebraExplore with Wolfram|Alpha
References
Pisier, G. "A Similarity Degree Characterization of Nuclear
-Algebras."
Publ. Res. Inst. Math. Sci. 42, 691-704, 2006. https://doi.org/10.2977/prims/1166642155.
Cite this as:
Weisstein, Eric W. "Kadison's Similarity Problem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/KadisonsSimilarityProblem.html