Publications (37)
$R$-matrices and the Yang-Baxter equation on GNS representations of C$^{*}$-bialgebras
Katsunori Kawamura
Inductive limit violates quasi-cocommutativity
Katsunori Kawamura
Jump transformations and an embedding of ${\cal O}_{\infty}$ into ${\cal O}_{2}$
Katsunori Kawamura, Dan Lascu, Ion Coltescu
A Gauss-Kuzmin Theorem for Some Continued Fraction Expansions
Dan Lascu, Katsunori Kawamura
On the Metrical Theory of a Generalized Continued Fraction Expansion
Dan Lascu, Katsunori Kawamura
Generalized permutative representations of Cuntz algebras
Katsunori Kawamura
Permutative representations of the Cuntz-Krieger algebras
Katsunori Kawamura
Biideals and a lattice of C$^{*}$-bialgebras associated with prime numbers
Katsunori Kawamura
Algebra with indefinite involution and its representation in Krein space
Katsunori Kawamura
C$^{*}$-bialgebra defined as the direct sum of UHF algebras
Katsunori Kawamura
A tensor product of representations of Cuntz algebras
Katsunori Kawamura
Structure of the group of automorphisms of C$^{*}$-algebras
Katsunori Kawamura
Classification and realizations of type III factor representations of Cuntz-Krieger algebras associated with quasi-free states
Katsunori Kawamura
Non-existence of universal $R$-matrix for some C$^{*}$-bialgebras
Katsunori Kawamura
Continued fraction expansions and permutative representations of the Cuntz algebra ${\cal O}_{\infty}$
Katsunori Kawamura, Yoshiki Hayashi, Dan Lascu
C$^{*}$-bialgebra defined by the direct sum of Cuntz-Krieger algebras
Katsunori Kawamura
Pentagon equation arising from state equations of a C$^{*}$-bialgebra
Katsunori Kawamura
Indefinite-metric quantum field theory and operator algebra
Katsunori Kawamura
Some inverse limits of Cuntz algebras
Katsunori Kawamura
Unitary isomorphism of Fock spaces of bosons and fermions arising from a representation of the Cuntz algebra $\co{2}$
Katsunori Kawamura
Non-cocommutative C$^{*}$-bialgebra defined as the direct sum of free group C$^{*}$-algebras
Katsunori Kawamura
C$^{*}$-bialgebra defined by the direct sum of Cuntz algebras
Katsunori Kawamura
Recursive boson system in the Cuntz algebra ${\cal O}_{\infty}$
Katsunori Kawamura
Recursive Fermion System in Cuntz Algebra. II -- Endomorphism, Automorphism and Branching of Representation --
Mitsuo Abe, Katsunori Kawamura
Tensor products of type III factor representations of Cuntz-Krieger algebras
Katsunori Kawamura
A tensor product of representations of UHF algebras arising from Kronecker products
Katsunori Kawamura
Pseudo Cuntz Algebra and Recursive FP Ghost System in String Theory
Mitsuo Abe, Katsunori Kawamura
Classification of sectors of the Cuntz algebras by graph invariants
Katsunori Kawamura
Nonlinear Transformation Group of CAR Fermion Algebra
Mitsuo Abe, Katsunori Kawamura
Infinitesimal Takesaki duality of Hamiltonian vector fields on a symplectic manifold
Katsunori Kawamura
Universal fermionization of bosons on permutative representations of the Cuntz algebra ${\cal O}_{2}$
Katsunori Kawamura
Automata computation of branching laws for endomorphisms of Cuntz algebras
Katsunori Kawamura
Recursive Fermion System in Cuntz Algebra.I -- Embeddings of Fermion Algebra into Cuntz Algebra ---
Mitsuo Abe, Katsunori Kawamura
Branching laws for polynomial endomorphisms in CAR algebra for fermions, uniformly hyperfinite algebras and Cuntz algebras
Mitsuo Abe, Katsunori Kawamura
Triangular C$^{*}$-bialgebra defined as the direct sum of matrix algebras
Katsunori Kawamura
Classification of sub-Cuntz states
Katsunori Kawamura
Quantum Mechanics and Operator algebras on the Hilbert ball
Katsunori Kawamura