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math.OA2012
-continuity is equivalent to -exactness
Otgonbayar Uuye
It is well known that the functor of taking the minimal tensor product with a fixed -algebra preserves inductive limits if and only if it preserves extensions. In other words,…
math.OA2012
On the invariant uniform Roe algebra
Takeshi Katsura, Otgonbayar Uuye
Let be a countable discrete group. We show that has the approximation property if and only if is exact and for any operator space $S \subseteq \K(H)$ we have $\Cu(Γ)^Γ…
math.OA2012
Approximations of subhomogeneous algebras
Tatiana Shulman, Otgonbayar Uuye
Let be a natural number. Recall that a C*-algebra is said to be -subhomogeneous if all its irreducible representations have dimension at most . In this short note, we giv…