75 citations · 162 across the 29 of their papers we have counts for
29 papers
On the magic square C*-algebra of size 4
Takeshi Katsura, Masahito Ogawa, Airi Takeuchi
In this paper, we investigate the structure of the magic square C*-algebra of size 4. We show that a certain twisted crossed product of is isomorphic to the homogeneo…
Ideal structure of C*-algebras of singly generated dynamical systems
Takeshi Katsura
In this paper, we show that the set of all ideals of the C*-algebras of a singly generated dynamical system corresponds bijectively to the set of all subsets of the product of the…
Topological graphs and singly generated dynamical systems
Takeshi Katsura
In this paper, we introduce the notion of a dual topological graph of a given topological graph, and show that it defines a C*-algebra isomorphic to the C*-algebra of the given one…
Reproducing kernel Hilbert C*-module and kernel mean embeddings
Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda +3
Kernel methods have been among the most popular techniques in machine learning, where learning tasks are solved using the property of reproducing kernel Hilbert space (RKHS). In th…
Analysis via Orthonormal Systems in Reproducing Kernel Hilbert -Modules and Applications
Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda +3
Kernel methods have been among the most popular techniques in machine learning, where learning tasks are solved using the property of reproducing kernel Hilbert space (RKHS). In th…
Semiprojectivity and properly infinite projections in graph C*-algebras
Søren Eilers, Takeshi Katsura
We give a complete description of which unital graph C*-algebras are semiprojective, and use it to disprove two conjectures by Blackadar. To do so, we perform a detailed analysis o…