Liang Wang

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math.OA2026

Pointwise convergence of noncommutative ergodic averages along the primes

Guixiang Hong, Liang Wang

Let $N$ be a von Neumann algebra equipped with a normal faithful semifinite trace, and let $γ$ be a trace-preserving automorphism of $N$ . We consider the ergodic…

math.OA2024

A noncommutative maximal inequality for ergodic averages along arithmetic sets

Cheng Chen, Guixiang Hong, Liang Wang

In this paper, we establish a noncommutative maximal inequality for ergodic averages with respect to the set ${k^{t} ∣ k = 1, 2, 3, ...}$ acting on noncommutative $L_{p}$ spaces for $p>\fra…