Aaron Tikuisis

activity

20122023

C^{*}

-algebras

12 citations · 24 across the 3 of their papers we have counts for

collaborators

3 papers

math.OA2023

On $ℓ$ -open $C^{}$ algebras and $ℓ$ -closed $C^{}$ -algebras

Dolapo Oyetunbi, Aaron Tikuisis

In this paper, we characterize $ℓ$ -open and $ℓ$ -closed $C^{*}$ -algebras and deduce that $ℓ$ -open $C^{*}$ -algebras are $ℓ$ -closed, as conjectured by Blackadar. Moreover, we…

math.LO2016★ 12 cited

Model theory of $C^{*}$ -algebras

I. Farah, B. Hart, M. Lupini +4

We begin the systematic model theoretic study of $C^{*}$ -algebras using the tools of continuous logic.

math.OA2012★ 12 cited

On the structure of the Cuntz semigroup in (possibly) nonunital C*-algebras

Aaron Tikuisis, Andrew Toms

We examine the ranks of operators in semi-finite C*-algebras as measured by their densely defined lower semicontinuous traces. We first prove that a unital simple C*-algebra whose…

On ℓ-open C∗ algebras and ℓ-closed C∗-algebras

Model theory of C∗-algebras

On the structure of the Cuntz semigroup in (possibly) nonunital C*-algebras

On $ℓ$ -open $C^{}$ algebras and $ℓ$ -closed $C^{}$ -algebras

Model theory of $C^{*}$ -algebras