Research Papers and Notes

• Operator Algebras and Their Representations (oarep2017), pre-lecture notes, 2014.
• Geometry of coherent states of CCR algebras, IDA-QP, 2012.
• Kakutani dichotomy on free states, arXiv:1203.3581.
• Kakutani dichotomy ( okinawa2011.pdf 89KB), Okinawa 2011/11, in Japanese.
• Geometry of quasi-free states of CCR algebras, Int.J.Math., 21(2010), 875--913.
• Representations of multicategories of planar diagrams and tensor categories ( pot-rims.pdf 116KB ), RIMS-kokyuroku, 2010.
• Geometric mean of states and transition amplitudes, Lett.Math.Phys., 84(2008), 123--137.
• Frobenius reciprocity in tensor categories, Math.Scand., 90(2002), 35--56.
• C*-tensor categories and free product bimodules, J. Funct. Analysis, 197(2003), 323--346.
• Frobenius duality in C*-tensor categories, J.Operator Theory, 52(2004), 3--20.
• Group symmetry in tensor categories and duality for orbifolds, J. Pure and Applied Algebra, 167(2002), 83--128.
• Polygonal presentations of semisimple tensor categories, J.Math.Soc.Japan, 54(2002), 61--88.
• Free products of semisimple tensor categories (ftc.pdf 287KB).
• Tannaka duals in semisimple tensor categories, J. Algebra, 253(2002), 350--391.
• Notes on operator categories, J. Math. Soc. Japan, 59(2007), 541--555 (arXiv:math/0212136).
• Frobenius algebras in tensor categories and bimodule extensions, Fields Institute Commun 43(2004), 551-570.