12 citations · 26 across the 7 of their papers we have counts for
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Tensor products of type III factor representations of Cuntz-Krieger algebras
Katsunori Kawamura
We introduced a non-symmetric tensor product of any two states or any two representations of Cuntz-Krieger algebras associated with a certain non-cocommutative comultiplication in…
C-bialgebra defined by the direct sum of Cuntz-Krieger algebras
Katsunori Kawamura
Let denote the C-algebra defined by the direct sum of all Cuntz-Krieger algebras. We introduce a comultiplication and a counit on such…
C-bialgebra defined by the direct sum of Cuntz algebras
Katsunori Kawamura
We show that a tensor product among representation of certain C-algebras induces a bialgebra. Let be the smallest unitization of the direct sum of Cuntz…
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…