Jing Xu

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math.FA2024

On the flag structure and classification of the holomorphic curves on C*-algebras

Zhimeng Chen, Jing Xu

In this note, we will define the formulas of curvature and it's covariant derivatives for holomorphic curves on C*-algebras for the multivariable case. As applications, the unitari…

math.FA2024

$K_{0}$ -groups and strongly irreducible decompositions of operator tuples

Jing Xu

An operator tuple $T = (T_{1}, \dots, T_{n})$ is called strongly irreducible (SI), if the joint commutant of $T$ does not any nontrivial idempotent operator. In this…

On the flag structure and classification of the holomorphic curves on C*-algebras

K0​-groups and strongly irreducible decompositions of operator tuples

$K_{0}$ -groups and strongly irreducible decompositions of operator tuples