Yoshimichi Ueda

HNN extensions of von Neumann algebras

Abstract Reduced HNN extensions of von Neumann algebras (as well as C * -algebras) will be introduced, and their modular theory, factoriality and ultraproducts will be discussed. In several concrete settings, detailed analysis on them will be also carried out.

Rigidity of free product von Neumann algebras

Let

On peak phenomena for non-commutative H∞

I

Remarks on free mutual information and orbital free entropy

be any nonempty set and

Factoriality, type classification and fullness for free product von Neumann algebras

(M_i, \varphi_i)_{i \in I}

Notes on Microstate Free Entropy of Projections

any family of nonamenable factors, endowed with arbitrary faithful normal states, that belong to a large class

On the predual of non-commutative H

\mathcal C_{\rm anti-free}

Notes on Treeability and Costs for Discrete Groupoids in Operator Algebra Framework

of (possibly type III) von Neumann algebras including all nonprime factors, all nonfull factors and all factors possessing a Cartan subalgebra. For the free product

A free logarithmic Sobolev inequality on the circle

(M, \varphi) = \ast_{i \in I} (M_i, \varphi_i)

Free transportation cost inequalities for noncommutative multi-variables

, we show that the free product von Neumann algebra