Spectral Theory and Operator Algebra

[1] Fusion bialgebras and Fourier analysis: Analytic obstructions for unitary categorification

Zhengwei Liu Yau Mathematical Sciences Center and Department of Mathematics, Tsinghua University, Beijing, 100084, China; Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China Sebastien Palcoux Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China Jinsong Wu Institute for Advanced Study in Mathematics, Harbin Institute of Technology, Harbin, 150001, China

Category Theory Functional Analysis Quantum Algebra Rings and Algebras Spectral Theory and Operator Algebra mathscidoc:2207.04003

Advances in Mathematics, 390, 107905, 2021.10
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[2] Uniqueness of non-linear ground states for fractional Laplacians in $${\mathbb{R}}$$

Rupert L. Frank Department of Mathematics, Princeton University Enno Lenzmann Institute for Mathematical Sciences, University of Copenhagen

Mathematical Physics Spectral Theory and Operator Algebra mathscidoc:1701.22001

Acta Mathematica, 210, (2), 261-318, 2011.5
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[3] Yang-Baxter relation planar algebras

Zhengwei Liu Harvard University, Cambridge, MA 02138

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.22007

2016.4
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[4] Unique Cartan decomposition for II_{1}factors arising from arbitrary actions of free groups

Sorin Popa Mathematics Department, University of California, Los Angeles Stefaan Vaes Department of Mathematics, KU Leuven

Functional Analysis Group Theory and Lie Theory Spectral Theory and Operator Algebra mathscidoc:1701.12005

Acta Mathematica, 212, (1), 141-198, 2012.6
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[5] The positive contractive part of a noncommutative Lp-space is a complete Jordan invariant

Chi-Wai Leung Chi-Keung Ng Ngai-Ching Wong

Spectral Theory and Operator Algebra mathscidoc:1910.43712

Linear Algebra and its Applications, 519, 102-110, 2017.4
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[6] Entropy, determinants, and L^2-torsion

Hanfeng Li Chongqing University, SUNY at Buffalo Andreas Thom TU Dresden

Dynamical Systems Spectral Theory and Operator Algebra mathscidoc:1704.02001

Distinguished Paper Award in 2018

J. Amer. Math. Soc., 27, (1), 239--292, 2014
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[7] Noncommutative uncertainty principles

Chunlan Jiang Zhengwei Liu Jinsong Wu

Spectral Theory and Operator Algebra mathscidoc:1912.431046

Journal of Functional Analysis, 270, (1), 264-311, 2016.1
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[8] Non-Commutative R´enyi entropic uncertainty principles

Zhengwei Liu Department of Mathematics and Department of Physics, Harvard University, Cambridge, MA, 02138, USA Jinsong Wu Institute of Advanced Study in Mathematics, Harbin Institute of Technology, Harbin, 150001, China

Spectral Theory and Operator Algebra mathscidoc:2207.32002

Science China Mathematics, 63, 2287–2298, 2020.4
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[9] The Grothendieck Ring of a Family of Spherical Categories

Zhengwei Liu Christopher Ryba

Category Theory Mathematical Physics Quantum Algebra Representation Theory Spectral Theory and Operator Algebra mathscidoc:2207.04005

2020.7
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[10] Spectral property of self-affine measures on Rn

Jing-Cheng Liu Hunan Normal University Jun Luo Chongqing University

Spectral Theory and Operator Algebra mathscidoc:1702.32001

Journal of Functional Analysis, 2017
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[11] Uncertainty principles for Kac algebras

Zhengwei Liu Department of Mathematics and Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA Jinsong Wu School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2206.29005

Journal of Mathematical Physics, 58, 052102, 2017.5
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[12] Classification of Thurston-relation subfactor planar algebras

Corey Jones Ohio State University, Columbus, USA Zhengwei Liu Harvard University, Cambridge, USA Yunxiang Ren Harvard University, Cambridge, USA

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.29002

European Mathematical Society, 10, (3), 441-480, 2019.9
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[13] De Finetti theorems for braided parafermions

Kaifeng Bu Harvard University, Cambridge, MA, 02138, USA; Zhejiang University, Hangzhou, China Arthur Jaffe Harvard University, Cambridge, MA, 02138, USA Zhengwei Liu Harvard University, Cambridge, MA, 02138, USA; Tsinghua University, Beijing, China Jinsong Wu Harvard University, Cambridge, MA, 02138, USA; Harbin Institute of Technology, Harbin, China

Functional Analysis Mathematical Physics Probability Spectral Theory and Operator Algebra mathscidoc:2207.12005

Communications in Mathematical Physics, 373, 435–456, 2019.10
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[14] Largest adjacency, signless Laplacian, and Laplacian H-eigenvalues of loose paths

Junjie YUE Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China Liping Zhang Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China Mei Lu Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Spectral Theory and Operator Algebra mathscidoc:1612.32001

2016.1
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[15] Composed inclusions of A3 and A4 subfactors

Zhengwei Liu

Spectral Theory and Operator Algebra mathscidoc:1912.431047

Advances in Mathematics, 279, 307-371, 2015.7
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[16] An inner amenable group whose von Neumann algebra does not have property Gamma

Stefaan Vaes Department of Mathematics, KU Leuven

Spectral Theory and Operator Algebra mathscidoc:1701.32003

Acta Mathematica, 208, (2), 389-394, 2010.3
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[17] Reducibility of invertible tuples to the principal component in commutative Banach algebras

Raymond Mortini Département de Mathématiques et Institut Élie Cartan de Lorraine, UMR 7502, Université de Lorraine Rudolf Rupp Fakultät für Angewandte Mathematik, Physik und Allgemeinwissenschaften, TH-Nürnberg

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:1701.12009

Arkiv for Matematik, 1-26, 2014.12
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[18] Lifting shadings on symmetrically self-dual subfactor planar algebras

Zhengwei Liu Scott Morrison David Penneys

Category Theory Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.04002

Contemporary Mathematics, 747, 2020.7
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[19] Block maps and Fourier analysis

Chunlan Jiang Department of Mathematics, Hebei Normal University, Shijiazhuang 050024, China Zhengwei Liu Department of Physics and Department of Mathematics, Harvard University, Cambridge, MA 02138, USA Jinsong Wu Institute for Advanced Study in Mathematics, Harbin Institute of Technology, Harbin 150001, China

Spectral Theory and Operator Algebra mathscidoc:2207.32001

Science China Mathematics, 62, (8), 1585, 2019.7
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[20] Jones-Wassermann subfactors for modular tensor categories

Zhengwei Liu Feng Xu

Spectral Theory and Operator Algebra mathscidoc:1912.431048

Advances in Mathematics, 355, 106775, 2019.10
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[21] Antisymmetric characters and Fourier duality

Zhengwei Liu Harvard University, Cambridge, USA Jinsong Wu IASM, Harbin Institute of Technology and Harvard University, Harbin, China

Mathematical Physics Quantum Algebra Representation Theory Spectral Theory and Operator Algebra mathscidoc:2207.22006

Communications in Mathematical Physics, 384, 77-108, 2021.4
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[22] Uncertainty principles for locally compact quantum groups

Chunlan Jiang Zhengwei Liu Jinsong Wu

Spectral Theory and Operator Algebra mathscidoc:1912.431049

Journal of Functional Analysis, 274, (8), 2399-2445, 2018.4
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[23] Strict comparison and $$ \mathcal{Z} $$ -absorption of nuclear$C$^{∗}-algebras

Hiroki Matui Graduate School of Science, Chiba University Yasuhiko Sato Graduate School of Science, Kyoto University

Quantum Algebra Rings and Algebras Spectral Theory and Operator Algebra mathscidoc:1701.29003

Acta Mathematica, 209, (1), 179-196, 2011.11
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[24] Duality and distance formulas in spaces defined by means of oscillation

Karl-Mikael Perfekt Centre for Mathematical Sciences, Lund University

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:1701.12024

Arkiv for Matematik, 51, (2), 345-361, 2011.6
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[25] Categorical extensions of conformal nets

Bin Gui Department of Mathematics, Rutgers University, New Brunswick, NJ, USA

Category Theory Spectral Theory and Operator Algebra mathscidoc:2203.04001

Communications in Mathematical Physics, 383, (2), 763-839, 2020.11
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