Research Experience
-
2015-
Hokkaido University
Details of a Researcher
Updated on 2024/12/07
Hokkaido University
Rohlin性
flow
量子群
作用
量子旗多様体
連結単純lie群
von Neumann環
Kac環
自己同型
von Neumann algebra
Haagerup property
無限テンソル積作用
誘導作用
Rohlin Flows on von Neumann Algebras
Toshihiko Masuda, Reiji Tomatsu
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY 244 ( 1153 ) VII - + 2016.11 [Refereed]
Haagerup Approximation Property for Arbitrary von Neumann Algebras
Rui Okayasu, Reiji Tomatsu
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 51 ( 3 ) 567 - 603 2015.09 [Refereed]
Idempotent states on compact quantum groups and their classification on U-q(2), SUq(2), and SOq(3)
Uwe Franz, Adam Skalski, Reiji Tomatsu
JOURNAL OF NONCOMMUTATIVE GEOMETRY 7 ( 1 ) 221 - 254 2013 [Refereed]
Compact quantum ergodic systems
Reiji Tomatsu
JOURNAL OF FUNCTIONAL ANALYSIS 254 ( 1 ) 1 - 83 2008.01 [Refereed]
Amenable discrete quantum groups
Reiji Tomatsu
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 58 ( 4 ) 949 - 964 2006.10 [Refereed]
A paving theorem for amenable discrete Kac algebras
Reiji Tomatsu
INTERNATIONAL JOURNAL OF MATHEMATICS 17 ( 8 ) 905 - 919 2006.09 [Refereed]
Research of quantum group actions on operator algebras
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research
Project Year :
Research of quantum group actions on operator algebras
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research
Project Year :
Study of group-quantum group actions on operator algebras
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research
Project Year :
Tomatsu Reiji
Study of quantum group actions on von Neumann algebras
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research
Project Year :
TOMATSU Reiji
A csomprehensive study of symmetries of operator algebras
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research
Project Year :
IZUMI Masaki, KAWAHIGASHI Yasuyuki, UEDA Yoshimichi, MATUI Hiroki, OZAWA Narutaka, OKAYASU Rui, TOMATSU Reiji, KIDA Yoshikata, YAMAGAMI Shigeru
Research of operator algebraic quantum groups
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research
Project Year :
TOMATSU Reiji
作用素環論的量子群の研究
日本学術振興会 科学研究費助成事業
Project Year :
戸松 玲治
Ultraproducts of crossed product von Neumann algebras
Reiji Tomatsu
2017.05
Internal/External technical report, pre-print, etc.
Haagerup approximation property via bimodules
Rui Okayasu, Narutaka Ozawa, Reiji Tomatsu
Mathematica Scandinavica 121 ( 1 ) 75 - 91 2017
Internal/External technical report, pre-print, etc.
Haagerup approximation property and positive cones associated with a von Neumann Algebra
Rui Okayasu, Reiji Tomatsu
Journal of Operator Theory 75 ( 2 ) 259 - 288 2016
Internal/External technical report, pre-print, etc.
The Haagerup Property for Arbitrary von Neumann Algebras
Martijn Caspers, Adam Skalski
INTERNATIONAL MATHEMATICS RESEARCH NOTICES ( 19 ) 9857 - 9887 2015
Internal/External technical report, pre-print, etc.
A characterization of fullness of continuous cores of type III$_1$ free product factors
Reiji Tomatsu, Yoshimichi Ueda
2014.12
Internal/External technical report, pre-print, etc.
Generalisations of the Haagerup approximation property to.arbitrary von Neumann algebras
Martijn Caspers, Rui Okayasu, Adam Skalski, Reiji Tomatsu
COMPTES RENDUS MATHEMATIQUE 352 ( 6 ) 507 - 510 2014.06
Internal/External technical report, pre-print, etc.
Classification of actions of discrete Kac algebras on injective factors
Toshihiko Masuda, Reiji Tomatsu
2013.06
Internal/External technical report, pre-print, etc.
On product type actions of G_q
Reiji Tomatsu
2013.02
Internal/External technical report, pre-print, etc.
On square roots of the Haar state on compact quantum groups
Uwe Franz, Adam Skalski, Reiji Tomatsu
JOURNAL OF PURE AND APPLIED ALGEBRA 216 ( 10 ) 2079 - 2093 2012.10
Internal/External technical report, pre-print, etc.
Rohlin flows on von Neumann algebras
Toshihiko Masuda, Reiji Tomatsu
2012.06
Internal/External technical report, pre-print, etc.
A Galois correspondence for compact quantum group actions
Reiji Tomatsu
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 633 165 - 182 2009.08
Internal/External technical report, pre-print, etc.
Idempotent states on compact quantum groups and their classification on U_q(2), SU_q(2), and SO_q(3)
Uwe Franz, Adam Skalski, Reiji Tomatsu
Journal of Noncommutative Geometry, Volume 7, Issue 1, 2013, pp. 221-254 2009.03
Internal/External technical report, pre-print, etc.
Approximate innerness and central triviality of endomorphisms
Toshihiko Masuda, Reiji Tomatsu
ADVANCES IN MATHEMATICS 220 ( 4 ) 1075 - 1134 2009.03
Internal/External technical report, pre-print, etc.
Toshihiko Masuda, Reiji Tomatsu
2008.06
Internal/External technical report, pre-print, etc.
Reiji Tomatsu
COMMUNICATIONS IN MATHEMATICAL PHYSICS 275 ( 1 ) 271 - 296 2007.10
Internal/External technical report, pre-print, etc.
Classification of minimal actions of a compact Kac algebra with amenable dual
Toshihiko Masuda, Reiji Tomatsu
COMMUNICATIONS IN MATHEMATICAL PHYSICS 274 ( 2 ) 487 - 551 2007.09
Internal/External technical report, pre-print, etc.
Compact Quantum Ergodic Systems
Reiji Tomatsu
2004.12
Internal/External technical report, pre-print, etc.
Amenable Discrete Quantum Groups
Reiji Tomatsu
Journal of the Mathematical Society of Japan 58 (2006), 949-964 2003.02
Internal/External technical report, pre-print, etc.
Faculty of Education and Integrated Arts and Sciences Graduate School of Education