3 citations · 6 across the 10 of their papers we have counts for
10 papers
Cartan-preserving *-automorphism groups: realization and obstructions for compact abelian groups
Fuyuta Komura
In this paper, we investigate automorphism groups preserving Cartan subalgebras of C*-algebras. First, we describe these groups in terms of automorphisms and 1-cocycles of twisted…
Weyl groups of groupoid C*-algebras
Fuyuta Komura
In the theory of C*-algebras, the Weyl groups were defined for the Cuntz algebras and graph algebras by Cuntz and Conti et al. respectively. In this paper, we introduce and investi…
*-homomorphisms between groupoid C*-algebras
Fuyuta Komura
In this paper, we investigate *-homomorphisms between C*-algebras associated to étale groupoids. First, we prove that such a *-homomorphism can be described by closed invariant sub…
Submodules of normalisers in groupoid C*-algebras and discrete group coactions
Fuyuta Komura
In this paper, we investigate certain submodules in C*-algebras associated to effective étale groupoids. First, we show that a submodule generated by normalizers is a closure of th…
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…
Kernel Mean Embeddings of Von Neumann-Algebra-Valued Measures
Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda +2
Kernel mean embedding (KME) is a powerful tool to analyze probability measures for data, where the measures are conventionally embedded into a reproducing kernel Hilbert space (RKH…
A correspondence between inverse subsemigroups, open wide subgroupoids and Cartan intermediate C*-subalgebras
Fuyuta Komura
For a given inverse semigroup action on a topological space, one can associate an étale groupoid. We prove that there exists a correspondence between the certain subsemigroups and…
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…
Invariant sets and normal subgroupoids of universal étale groupoids induced by congruences of inverse semigroups
Fuyuta Komura
For a given inverse semigroup, one can associate an étale groupoid which is called the universal groupoid. Our motivation is studying the relation between inverse semigroups and as…
Quotients of étale groupoids and the abelianizations of groupoid C*-algebras
Fuyuta Komura
In this paper, we introduce quotients of étale groupoids. Using the notion of quotients, we describe the abelianizations of groupoid C*-algebras. As another application, we obtain…