3 citations · 6 across the 10 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…