Kang Li

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math.OA2026

$K$ -Theoretic Comparison of Roe and Quasi-Local Algebras via Projections

Kang Li, Jiawen Zhang, Jingming Zhu

A central question in higher index theory and operator algebras is whether the Roe algebra and the quasi-local algebra associated with a metric space of bounded geometry coincide,…

math.OA2024

Maximal ideals of reduced group C*-algebras and Thompson's groups

Kevin Aguyar Brix, Chris Bruce, Kang Li +1

Given a conditional expectation $P$ from a C*-algebra $B$ onto a C*-subalgebra $A$ , we observe that induction of ideals via $P$ , together with a map which we call co-induction, for…

math.OA2024

Tracial states on groupoid $C^{*}$ -algebras and essential freeness

Kang Li, Jiawen Zhang

Let $G$ be a locally compact Hausdorff étale groupoid. We call a tracial state $τ$ on a general groupoid $C^{*}$ -algebra $C_{ν}^{*} (G)$ canonical if $τ=τ|_{C_0(\mathc…

K-Theoretic Comparison of Roe and Quasi-Local Algebras via Projections

Maximal ideals of reduced group C*-algebras and Thompson's groups

Tracial states on groupoid C∗-algebras and essential freeness

$K$ -Theoretic Comparison of Roe and Quasi-Local Algebras via Projections

Tracial states on groupoid $C^{*}$ -algebras and essential freeness