Tsuyoshi Kajiwara

CROSSED PRODUCTS OF HILBERT C*-BIMODULES BY COUNTABLE DISCRETE GROUPS

We introduce a notion of crossed products of Hilbert C*-bimodules by countable discrete groups and mainly study the case of finite groups following Jones index theory. We give a sufficient condition such that the crossed product bimodule is irreducible. We have a bimodule version of Takesaki-Takai duality. We show the categorical structures when the action is properly outer, and give some example of this construction concerning the orbifold constructions.

KMS states and branched points

We completely classify the KMS states for the gauge action on a

Global stability of models of humoral immunity against multiple viral strains

C^*

Global stability of pathogen-immune dynamics with absorption

-algebra associated with a rational function

Construction of Lyapunov functions for some models of infectious diseases in vivo: from simple models to complex models.

R

Traces on cores of C∗-algebras associated with self-similar maps

introduced in our previous work. The gauge action has a phase transition at

Crossed products of Hilbert C*-bimodules by bundles

\beta = \log \deg R

On the optimal duration of memory of losing a conflict – a mathematical model approach

. We can recover the degree of

Global dynamics of B cells and anti-idiotipic B cells and its application to autoimmunity

R

Ideal Structure and Simplicity of the C*-Algebras Generated by Hilbert Bimodules

, the number of branched points, the number of exceptional points and the orbits of exceptional points from the structure of the KMS states. We also classify the KMS states for