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20122023
most citedUniversal AF-algebras

6 citations · 18 across the 8 of their papers we have counts for

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8 papers · 1 filter

math.OA2020

A class of AF-algebras up to universal UHF-algebra stability

Saeed Ghasemi

We will show that separable unital AF-algebras whose Bratteli diagrams do not allow converging two nodes into one node, can be classified up to the tensor product with the universa…

math.OA2019★ 2 cited

Strongly self-absorbing -algebras and Fraïssé limits

Saeed Ghasemi

We show that the Fraïssé limit of a category of unital separable -algebras which is sufficiently closed under tensor products of its objects and morphisms is strongly self-abs…

math.OA2019★ 6 cited

Universal AF-algebras

Saeed Ghasemi, Wiesław Kubiś

We study the approximately finite-dimensional (AF) -algebras that appear as inductive limits of sequences of finite-dimensional -algebras and left-invertible embeddings.…

math.OA2017★ 3 cited

A non-stable C*-algebra with an elementary essential composition series

Saeed Ghasemi, Piotr Koszmider

A C*-algebra is said to be stable if it is isomorphic to . Hjelmborg and Rørdam have shown that countable inductive limits of separable stable C*-algebras…

math.OA2016

Noncommutative Cantor-Bendixson derivatives and scattered -algebras

Saeed Ghasemi, Piotr Koszmider

We analyze the sequence obtained by consecutive applications of the Cantor-Bendixson derivative for a noncommutative scattered -algebra , using the ideal $\mathcal…

math.OA2016

An extension of compact operators by compact operators with no nontrivial multipliers

Saeed Ghasemi, Piotr Koszmider

We construct an essential extension of by , where denotes the cardinality of continuum, i.e., a -alge…

math.OA2013

Isomorphisms of quotients of FDD-algebras

Saeed Ghasemi

We consider isomorphisms between quotient algebras of associated with Borel ideals on and prove that it is relativ…

math.OA2012

SAW*-algebras are essentially non-factorizable

Saeed Ghasemi

In this paper we solve a question of Simon Wassermann, whether the Calkin algebra can be written as a C*-tensor product of two infinite dimensional C*-algebras. More generally we s…