Huaxin Lin

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math.OA2025

Almost Representations

Huaxin Lin

Let $H$ be an infinite dimensional separable Hilbert space, $B (H)$ the $C^{*}$ -algebra of all bounded linear operators on $H,$ $U (B (H))$ the unitary group of $B (H)$ and ${\cal K}\sub…

math.OA2023

Double duals and Hilbert modules

Huaxin Lin

Let $A$ be a $C^{*}$ -algebra, $H$ be a Hilbert $A$ -module and $K (H)$ be the closure of the set of finite rank module maps. We show that the $W^{*}$ -algebra of all bounded $A^{**}$ -modu…

math.OA2023

Extensions of C*-algebras

James Gabe, Huaxin Lin, Ping Wong Ng

Let $A$ be a separable amenable $C^{*}$ -algebra and $B$ a non-unital and $σ$ -unital simple $C^{*}$ -algebra with continuous scale ( $B$ need not be stable). We classify, up to unitary eq…