Kan Kitamura - Research

Publications

Induced coactions along a homomorphism of locally compact quantum groups. Journal of Functional Analysis 282 (2022), no.12, 109462, 53pp.

DOI:10.1016/j.jfa.2022.109462, arXiv:2108.01986.

Partial Pontryagin duality for actions of quantum groups on C*-algebras. Journal of Operator Theory 93 (2025), no.1, 173–216.

DOI:10.7900/jot.2023ian21.241, arXiv:2210.12838.

Discrete quantum subgroups of complex semisimple quantum groups. International Mathematics Research Notices 2024 (2024), no.9, 7234–7254.

DOI:10.1093/imrn/rnad117, arXiv:2303.14656.

(With Yuki Arano, Yosuke Kubota) Tensor category equivariant KK-theory. Advances in Mathematics 453 (2024), 109848, 72pp.

DOI:10.1016/j.aim.2024.109848, arXiv:2305.07255.

(With Eusebio Gardella, Hannes Thiel) Semiprime ideals in C*-algebras. Journal of the European Mathematical Society, published online, 28pp.

DOI:10.4171/jems/1699, arXiv:2311.17480.

(With Mao Hoshino) A note on quantum subgroups of free quantum groups. Comptes Rendus Mathématique 362 (2024), 1327–1330.

DOI:10.5802/crmath.641, arXiv:2403.11151.

Preprints

Actions of tensor categories on Kirchberg algebras. Preprint, arXiv:2405.18429, to appear in Annales scientifiques de l'École normale supérieure.
(With Sergio Girón Pacheco, Robert Neagu) The stable uniqueness theorem for unitary tensor category equivariant KK-theory. Preprint, arXiv:2410:23935.
(With Eusebio Gardella, Hannes Thiel) Prime and semiprime Lie ideals in C*-algebras. Preprint, arXiv:2506.11819.

Talks/Presentations

KK-theory and its categorical structures (contributed), Junior Functional Analysis Workshop, Mie Japan, September 2019.
Bost–Connes type systems for function fields (contributed), Junior Functional Analysis Workshop, Online, September 2020.
On induction along a homomorphism of compact quantum groups, Tokyo-Kyoto Joint Online Operator Algebra Seminar, Online, January 2021.
Induced coactions along a homomorphism of locally compact quantum groups, Workshop on Operator Theory and Operator Algebras, Fukuoka Japan, November 2021.
Induced actions of quantum groups on C*-algebras (contributed), Mathsci Freshman Seminar, Fukuoka Japan, February 2022.
Partial Pontryagin duality for quantum group actions, Tokyo-Kyoto Joint Online Operator Algebra Seminar, Online, July 2022.
Partial Pontryagin duality for quantum group actions on C*-algebras (contributed), Operator Algebras: Subfactors, K-theory, Conformal Field Theory, Tregynon UK, July 2022.
Partial Pontryagin duality for quantum group actions on C*-algebras, Recent Developments in Operator Algebras, Kyoto Japan, September 2022.
Partial Pontryagin duality for actions of quantum groups on C*-algebras, Quantum Groups Seminar, Online, December 2022.
Partial Pontryagin duality for actions of quantum groups on C*-algebras, Functional Analysis Seminar, University of Oxford, UK, January 2023.
Partial Pontryagin duality for actions of quantum groups on C*-algebras, Analysis Seminar, University of Glasgow, UK, February 2023.
Tensor category equivariant KK-theory, Japan-Netherlands Joint Seminar: Index Theory and Operator Algebras in Topological Physics, Online, March 2023.
Discrete quantum subgroups of complex semisimple quantum groups, Quantum groups and interactions, Glasgow UK, May 2023.
Around homogeneous spaces of complex semisimple quantum groups, iTHEMS Math Seminar, RIKEN, Japan, June 2023.
Around homogeneous spaces of complex semisimple quantum groups, Operator Algebra Seminar, University of Tokyo, Japan, June 2023.
Discrete quantum subgroups of complex semisimple quantum groups, Kyoto Operator Algebra Seminar, Kyoto University, Japan, June 2023.
Discrete quantum subgroups of complex semisimple quantum groups, Quantum Analysis Seminar, Nagoya University, Japan, July 2023.
Discrete quantum subgroups of complex semisimple quantum groups (contributed), Twinned Conference on C*-Algebras and Tensor Categories, Edinburgh UK, November 2023.
Semiprime ideals in C*-algebras, Workshop on Operator Theory and Operator Algebras, Fukuoka Japan, November 2023.
Semiprime ideals in C*-algebras, Operator algebras and symmetries, Kyoto Japan, January 2024.
Introduction to operator algebras, iTHEMS Math Seminar, RIKEN, Japan, May 2024.
Discrete quantum subgroups of complex semisimple quantum groups, Expansion in Representation Theory and Harmonic Analysis, Kyoto Japan, June 2024.
Quantum symmetries on simple C*-algebras, CREST Seminar, Online, June 2024.
Actions of tensor categories on Kirchberg algebras, Operator Algebra Seminar, University of Tokyo, Japan, July 2024.
Actions of tensor categories on Kirchberg algebras, China-Japan-Korea Conference on Functional Analysis, Harbin China, August 2024.
Simplicity of Pimsner algebras with application to quantum symmetries, Recent Developments in Operator Algebras, Kyoto Japan, September 2024.
Tensor categories and their realizations with C*-algebras, Operator Algebra Seminar, Seoul National University, South Korea, October 2024.
Actions of tensor categories on Kirchberg algebras, Kyoto Operator Algebra Seminar, Kyoto University, Japan, October 2024.
Actions of tensor categories on Kirchberg algebras, Quantum Analysis Seminar, Nagoya University, Japan, November 2024.
Actions of tensor categories on Kirchberg algebras (contributed), Quantum groups, tensor categories and quantum field theory, Oslo Norway, January 2025.
Quantum symmetries on tensor categories on Kirchberg algebras, Functional Analysis Seminar, University of Oxford, UK, January 2025.
Simplicity of Pimsner algebras with application to quantum symmetries, Analysis Seminar, University of Glasgow, UK, October 2025.
Quantum symmetries on Kirchberg algebras and amenability, Korea Operator Algebras Seminar - 2026 conference, Seoul South Korea, February 2026.
Quantum symmetries on Kirchberg algebras and amenability, Nagoya mini-workshop on index theory, noncommutative geometry and operator algebras, Nagoya Japan, February 2026.

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