Uniform property 
of a unital 
-algebra
with nonempty tracial state space requires, for
each integer 
, orthogonal projections 
in 
summing to 1 such that
 |
where 
and 
ranges over the limit traces of its uniform tracial
ultrapower. Splitting scalar trace values alone is weaker than this coefficient
identity.
-Algebras:
99 Problems." 12 Jun 2025.