Gihyun Lee

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math.OA2023

Weakly Parametric Pseudodifferential Calculus for Twisted $C^{*}$ -dynamical Systems

Gihyun Lee, Matthias Lesch

For a twisted $C^{*}$ -dynamical system $(A, R^{n}, α, e)$ over a unital $C^{*}$ -algebra we establish a weakly parametric pseudodifferential calculus analogously to the ce…

math.OA2023

Logarithmic Sobolev Inequalities of Fractional Order on Noncommutative Tori

Gihyun Lee

In this paper, we prove a version of the logarithmic Sobolev inequality of fractional order on noncommutative $n$ -tori for any dimension $n \geq 2$ .

Weakly Parametric Pseudodifferential Calculus for Twisted C∗-dynamical Systems

Logarithmic Sobolev Inequalities of Fractional Order on Noncommutative Tori

Weakly Parametric Pseudodifferential Calculus for Twisted $C^{*}$ -dynamical Systems