3 citations · 10 across the 9 of their papers we have counts for
5 papers · 1 filter
The Fubini product and its applications
Otgonbayar Uuye, Joachim Zacharias
The Fubini product of operator spaces provide a powerful tool for analysing properties of tensor products. In this paper we review the the theory of Fubini products and apply it to…
-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,…
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…
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…
Pseudo-differential Operators and Regularity of Spectral Triples
Otgonbayar Uuye
We introduce a notion of an algebra of generalized pseudo-differential operators and prove that a spectral triple is regular if and only if it admits an algebra of generalized pseu…