activity
19942023
most citedClassification of finite simple amenable -stable -algebras

71 citations · 436 across the 72 of their papers we have counts for

collaborators

72 papers

math.OA2023

Projective Hilbert Modules and Sequential Approximation

Lawrence G. Brown, Huaxin Lin

We show that, when is a separable C*-algebra, every countably generated Hilbert -module is projective (with bounded module maps as morphisms). We also study the approximate…

math.OA2023

Strict comparison and stable rank one

Huaxin Lin

Let be a -unital finite simple -algebra which has strict comparison property. We show that if the canonical map from the Cuntz semigroup to certain lower semi-conti…

math.OA2022

Tracial approximation and -stability

Huaxin Lin

Let be a unital separable non-elementary amenable simple stably finite C*-algebra such that its tracial state space has a -compact countable-dimensional extremal boundary. W…

math.OA2022

Hereditary uniform property

Huaxin Lin

We study the uniform property for separable simple -algebras which have quasitraces and may not be exact. We show that a stably finite separable simple -algebra w…

math.OA2021★ 2 cited

Tracial oscillation zero and stable rank one

Xuanlong Fu, Huaxin Lin

Let be a separable (not necessarily unital) simple -algebra with strict comparison. We show that if has tracial approximate oscillation zero then has stable rank o…

math.OA2021

Tracial oscillation zero and Z-stability

Huaxin Lin

Let be a (not necessarily unital) separable non-elementary simple amenable C*-algebra whose tracial basis may not have finite covering dimension and may not be compact but sati…