Makoto Yamashita

• Proietti, Valerio & Yamashita, Makoto (2024). Homology and K-theory of dynamical systems IV. Further structural results on groupoid homology. Ergodic Theory and Dynamical Systems. ISSN 0143-3857. doi: 10.1017/etds.2024.37.
• Elzinga, Floris & Yamashita, Makoto (2023). Poisson–Lie group structures on semidirect products. Journal of Noncommutative Geometry. ISSN 1661-6952. 18(2), s. 631–655. doi: 10.4171/JNCG/538. Fulltekst i vitenarkiv
• Yamashita, Makoto (2023). Deformation of algebras associated with group cocycles. Journal of Noncommutative Geometry. ISSN 1661-6952. 17(4), s. 1145–1166. doi: 10.4171/JNCG/522. Fulltekst i vitenarkiv
• Brannan, Michael; Elzinga, Floris Eelke; Harris, Samuel J & Yamashita, Makoto (2023). Crossed Product Equivalence of Quantum Automorphism Groups of Finite Dimensional C*-Algebras. International Mathematics Research Notices (IMRN). ISSN 1073-7928. 2023(20), s. 17749–17787. doi: 10.1093/imrn/rnad060. Fulltekst i vitenarkiv
• Proietti, Valerio & Yamashita, Makoto (2023). Homology and K-theory of dynamical systems II. Smale spaces with totally disconnected transversal. Journal of Noncommutative Geometry. ISSN 1661-6952. 17(3), s. 957–998. doi: 10.4171/JNCG/494. Fulltekst i vitenarkiv
• De Commer, Kenny; Neshveyev, Sergiy; Tuset, Lars & Yamashita, Makoto (2023). Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik-Zamolodchikov equations and Letzter-Kolb coideals. Forum of Mathematics, Pi. ISSN 2050-5086. 11. doi: 10.1017/fmp.2023.11. Fulltekst i vitenarkiv Vis sammendrag

  We establish an equivalence between two approaches to quantization of irreducible symmetric spaces of compact type within the framework of quasi-coactions, one based on the Enriquez–Etingof cyclotomic Knizhnik– Zamolodchikov (KZ) equations and the other on the Letzter–Kolb coideals. This equivalence can be upgraded to that of ribbon braided quasi-coactions, and then the associated reflection operators (K-matrices) become a tangible invariant of the quantization. As an application we obtain a Kohno–Drinfeld type theorem on type B braid group representations defined by the monodromy of KZ-equations and by the Balagović–Kolb universal K-matrices. The cases of Hermitian and non-Hermitian symmetric spaces are significantly different. In particular, in the latter case a quasi-coaction is essentially uniq

• Neumann, Hans Henrich & Yamashita, Makoto (2022). Lieb type convexity for positive operator monotone decreasing functions. Linear and multilinear algebra. ISSN 0308-1087. doi: 10.1080/03081087.2022.2042476. Fulltekst i vitenarkiv
• Proietti, Valerio & Yamashita, Makoto (2021). Homology and K-theory of dynamical systems I. Torsion-free ample groupoids. Ergodic Theory and Dynamical Systems. ISSN 0143-3857. doi: 10.1017/etds.2021.50. Fulltekst i vitenarkiv
• Kirihata, Megumi & Yamashita, Makoto (2020). Strengthened convexity of positive operator monotone decreasing functions. Mathematica Scandinavica. ISSN 0025-5521. 126(3), s. 559–567. doi: 10.7146/math.scand.a-120579. Fulltekst i vitenarkiv
• Chakraborty, Sayan & Yamashita, Makoto (2019). Tracing cyclic homology pairings under twisting of graded algebras. Letters in Mathematical Physics. ISSN 0377-9017. 109(7), s. 1625–1664. doi: 10.1007/s11005-018-01147-7. Fulltekst i vitenarkiv
• De Commer, Kenny; Neshveyev, Sergey; Tuset, Lars & Yamashita, Makoto (2019). Ribbon braided module categories, quantum symmetric pairs and Knizhnik-Zamolodchikov equations. Communications in Mathematical Physics. ISSN 0010-3616. 367(3), s. 717–769. doi: 10.1007/s00220-019-03317-7. Fulltekst i vitenarkiv
• Bhowmick, Jyotishman; Ghosh, Shamindra; Rakshit, Narayan & Yamashita, Makoto (2018). Tube representations and twisting of graded categories. Theory and Applications of Categories. ISSN 1201-561X. Fulltekst i vitenarkiv
• Neshveyev, Sergey & Yamashita, Makoto (2018). Categorically Morita Equivalent Compact Quantum Groups. Documenta Mathematica. ISSN 1431-0635. 23, s. 2165–2216. doi: 10.25537/dm.2018v23.2165-2216. Fulltekst i vitenarkiv
• Neshveyev, Sergey & Yamashita, Makoto (2018). A Few Remarks on the Tube Algebra of a Monoidal Category. Proceedings of the Edinburgh Mathematical Society. ISSN 0013-0915. 61(3), s. 735–758. doi: 10.1017/S0013091517000426. Fulltekst i vitenarkiv
• Yamashita, Makoto (2017). Monodromy of the Gauss–Manin connection for deformation by group cocycles. Journal of Noncommutative Geometry. ISSN 1661-6952. 11(4), s. 1237–1265. doi: 10.4171/JNCG/11-4-1.
• De Commer, Kenny & Yamashita, Makoto (2015). Tannaka–Kreĭn duality for compact quantum homogeneous spaces. II. Classification of quantum homogeneous spaces for quantum SU(2). Journal für die Reine und Angewandte Mathematik. ISSN 0075-4102. 2015(708), s. 143–171. doi: 10.1515/crelle-2013-0074.
• De Commer, Kenny; Freslon, Amaury & Yamashita, Makoto (2014). CCAP for universal discrete quantum groups. Communications in Mathematical Physics. ISSN 0010-3616. 331(2), s. 677–701. doi: 10.1007/s00220-014-2052-7.
• De Commer, Kenny & Yamashita, Makoto (2013). Tannaka–Kreĭn duality for compact quantum homogeneous spaces. I. General theory. Theory and Applications of Categories. ISSN 1201-561X. 28, s. 1099–1138. doi: 10.1515/crelle-2013-0074.
• Rennie, Adam; Sitarz, Andrzej & Yamashita, Makoto (2013). Twisted Cyclic Cohomology and Modular Fredholm Modules. SIGMA. Symmetry, Integrability and Geometry. ISSN 1815-0659. 9. doi: 10.3842/SIGMA.2013.051.
• De Commer, Kenny & Yamashita, Makoto (2013). A construction of finite index C*-algebra inclusions from free actions of compact quantum groups. Publications of the Research Institute for Mathematical Sciences. ISSN 0034-5318. 49(4), s. 709–735. doi: 10.4171/PRIMS/117.
• Yamashita, Makoto (2013). Operator algebra of foliations with projectively invariant transverse measure. Publications of the Research Institute for Mathematical Sciences. ISSN 0034-5318. 49(4), s. 679–708. doi: 10.4171/PRIMS/116.
• Yamashita, Makoto (2013). Equivariant comparison of quantum homogeneous spaces. Communications in Mathematical Physics. ISSN 0010-3616. 317(3), s. 593–614. doi: 10.1007/s00220-012-1594-9.
• Yamashita, Makoto (2013). Index character associated with the projective Dirac operator. Proceedings of the American Mathematical Society. ISSN 0002-9939. 141, s. 2923–2932. doi: 10.1090/S0002-9939-2013-11588-1.
• Yamashita, Makoto (2012). On subfactors arising from asymptotic representations of symmetric groups. Proceedings of the American Mathematical Society. ISSN 0002-9939. 140, s. 249–261. doi: 10.1090/S0002-9939-2011-10991-2.
• Yamashita, Makoto (2010). Connes–Landi deformation of spectral triples. Letters in Mathematical Physics. ISSN 0377-9017. 94(3), s. 263–291. doi: 10.1007/s11005-010-0441-1.

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• Yamashita, Makoto (2018). Dynamical characterization of categorical Morita equivalence for compact quantum groups.

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