Zhaolin Yao

activity

20202025

collaborators

Showing 2020Show all

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math.OA2020

On finite sums of projections and Dixmier's averaging theorem for type $II_{1}$ factors

Xinyan Cao, Junsheng Fang, Zhaolin Yao

Let $M$ be a type $I I_{1}$ factor and let $τ$ be the faithful normal tracial state on $M$ . In this paper, we prove that given an $X \in M$ , $X=X^*…

math.OA2020

Strong sums of projections in type $II$ factors

Xinyan Cao, Junsheng Fang, Zhaolin Yao

Let $M$ be a type $II$ factor and let $τ$ be the faithful positive semifinite normal trace, unique up to scalar multiples in the type $II_{\infty}$ case and normalized by…

On finite sums of projections and Dixmier's averaging theorem for type II1​ factors

Strong sums of projections in type II factors

On finite sums of projections and Dixmier's averaging theorem for type $II_{1}$ factors

Strong sums of projections in type $II$ factors