12 citations · 24 across the 4 of their papers we have counts for
6 papers
Permutative representations of the Cuntz-Krieger algebras
Katsunori Kawamura
We generalize permutative representations of the Cuntz algebras for the \cka\ $\coa$ for any . We characterize cyclic permutative representations by notions of cycle and chain,…
Classification of sectors of the Cuntz algebras by graph invariants
Katsunori Kawamura
A unitary equivalence class of endomorphisms of a unital C-algebra is called a {\it sector} of . We introduced permutative endomorphisms of the Cuntz alg…
Generalized permutative representations of Cuntz algebras
Katsunori Kawamura
We introduce representations of the Cuntz algebra $\con$ which are parameterized by sequences in the set of unit vectors in . These representations are natural general…
Recursive Fermion System in Cuntz Algebra. II -- Endomorphism, Automorphism and Branching of Representation --
Mitsuo Abe, Katsunori Kawamura
Based on an embedding formula of the CAR algebra into the Cuntz algebra , properties of the CAR algebra are studied in detail by restricting those of the Cuntz…
Recursive Fermion System in Cuntz Algebra.I -- Embeddings of Fermion Algebra into Cuntz Algebra ---
Mitsuo Abe, Katsunori Kawamura
Embeddings of the CAR (canonical anticommutation relations) algebra of fermions into the Cuntz algebra (or more generally) are presented by using recur…
Structure of the group of automorphisms of C-algebras
Katsunori Kawamura
We obtain a kind of structure theorem for the automorphism group of a unital C-algebra . According to it, can be regarded as…