Rui Okayasu

Type III factors arising from Cuntz-Krieger algebras

We determine the types of factors arising from GNS-representations of quasi-free KMS states on Cuntz-Krieger algebras. Applying our result to the Cuntz-Krieger algebras arising from the boundary actions of some amalgamated free product groups, we also determine the types of harmonic measures on the boundaries.

Free group C*-algebras associated with ℓp

For every

Haagerup Approximation Property for Arbitrary von Neumann Algebras

p\geq 2

Haagerup approximation property and positive cones associated with a von Neumann algebra

, we give a characterization of positive definite functions on a free group with finitely many generators, which can be extended to the positive linear functionals on the free group

RELATIVE ENTROPY FOR ABELIAN SUBALGEBRAS

C^*

Perturbation theoretic entropy of the boundary actions of free groups

-algebra associated with the ideal

Entropy for

\ell_p

C^*

. This is a generalization of Haagerups characterization for the case of the reduced free group

-algebras with tracial rank zero

C^*

THE RATIO SET OF THE HARMONIC MEASURE OF A RANDOM WALK ON A HYPERBOLIC GROUP

-algebra. As a consequence, the associated