activity
20182026
most citedQuotients of étale groupoids and the abelianizations of groupoid C*-algebras

3 citations · 4 across the 9 of their papers we have counts for

collaborators

10 papers

math.OA2026

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…

math.OA2024

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…

math.OA2023

*-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…

math.OA2022

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…

stat.ML2021

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…

stat.ML2020

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…