Équations de structure des martingales et probabilités quantiques
Ergodic Actions by Compact Groups on C*-Algebras.
Existence of infinite-dimensional Lie algebra for a unitary group on a Hilbert space and related aspects
We show that for any strongly closed subgroup of a unitary group of a finite von Neumann algebra, there exists a canonical Lie algebra which is complete with respect to the strong resolvent topology. Our analysis is based on the comparison between measure topology induced by the tracial state and the strong resolvent topology we define on the particular space of closed operators on the Hilbert space. This is an expository article of the paper by both authors in Hokkaido Math. J. 41 (2012), 31-99,...
Factorization of Operators Through Lp ... or Lp1 and Non-Commutative Generalizations.
Feuilletages et algèbres d'opérateurs
Frame functions, signed measures and completeness of inner product spaces
Free diffusions, free entropy and free Fisher information
Free probability theory and non-crossing partitions.
Geometric aspects of the Tomita-Takesaki theory I.
Geometric aspects of the Tomita-Takesaki theory II.
Gleason measures and some inner products on the algebra of bounded operators on a Hilbert space
Gleason theorem for signed measures with infinite values
Heisenberg's picture and non commutative geometry of the semi classical limit in quantum mechanics
Homomorphisms of -algebras of locally measurable operators.
Hypercontractivité pour les fermions, d'après Carlen-Lieb
Indice d'une espérance conditionnelle
Intégration non commutative représentation projective d’espaces
Interprétation probabiliste et extension des intégrales stochastiques non commutatives
Isometries of Non-Commutative Lorentz Spaces.
Isomorphism Between the Associative and Non-Associative Lp-Spaces of Type II1 Hyperfinite Factors.