75 citations · 106 across the 6 of their papers we have counts for
8 papers
Non-separable AF-algebras
Takeshi Katsura
We give two pathological phenomena for non-separable AF-algebras which do not occur for separable AF-algebras. One is that non-separable AF-algebras are not determined by their Bra…
C^*-algebras generated by scaling elements
Takeshi Katsura
We investigate C^*-algebras generated by scaling elements. We generalize the Wold decomposition and Coburn's theorem on isometries to scaling elements. We also completely determine…
Ideal structure of -algebras associated with -correspondences
Takeshi Katsura
We study the ideal structure of -algebras arising from -correspondences. We prove that gauge-invariant ideals of our -algebras are parameterized by certain pairs of…
On -algebras associated with -correspondences
Takeshi Katsura
We study -algebras arising from -correspondences, which was introduced by the author. We prove the gauge-invariant uniqueness theorem, and obtain conditions for our …
A construction of -algebras from -correspondences
Takeshi Katsura
We introduce a method to define -algebras from -correspondences. Our construction generalizes Cuntz-Pimsner algebras, crossed products by Hilbert -modules, and graph…
On crossed products of the Cuntz algebra by quasi-free actions of abelian groups
Takeshi Katsura
We investigate the structures of crossed products of the Cuntz algebra by quasi-free actions of abelian groups. We completely determine their ideal structures…