Concurrent Post

Faculty of Education and Integrated Arts and Sciences Graduate School of Education
Details of a Researcher
Updated on 2022/09/25
Faculty of Education and Integrated Arts and Sciences Graduate School of Education
東京大学 博士(数理科学)
Hokkaido University
Mathematical analysis
Basic analysis
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 Uq(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]
Ultraproducts of crossed product von Neumann algebras
Reiji Tomatsu
2017.05
Internal/External technical report, preprint, etc.
Haagerup approximation property via bimodules
Rui Okayasu, Narutaka Ozawa, Reiji Tomatsu
Mathematica Scandinavica 121 ( 1 ) 75  91 2017
Internal/External technical report, preprint, 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, preprint, 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, preprint, 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, preprint, 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, preprint, etc.
Classification of actions of discrete Kac algebras on injective factors
Toshihiko Masuda, Reiji Tomatsu
2013.06
Internal/External technical report, preprint, etc.
On product type actions of G_q
Reiji Tomatsu
2013.02
Internal/External technical report, preprint, 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, preprint, etc.
Rohlin flows on von Neumann algebras
Toshihiko Masuda, Reiji Tomatsu
2012.06
Internal/External technical report, preprint, 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, preprint, 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. 221254 2009.03
Internal/External technical report, preprint, 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, preprint, etc.
Toshihiko Masuda, Reiji Tomatsu
2008.06
Internal/External technical report, preprint, etc.
Reiji Tomatsu
COMMUNICATIONS IN MATHEMATICAL PHYSICS 275 ( 1 ) 271  296 2007.10
Internal/External technical report, preprint, 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, preprint, etc.
Compact Quantum Ergodic Systems
Reiji Tomatsu
2004.12
Internal/External technical report, preprint, etc.
Amenable Discrete Quantum Groups
Reiji Tomatsu
Journal of the Mathematical Society of Japan 58 (2006), 949964 2003.02
Internal/External technical report, preprint, etc.