16 citations · 31 across the 4 of their papers we have counts for
4 papers · 1 filter
A class of -algebras generalizing both graph algebras and homeomorphism -algebras IV, pure infiniteness
Takeshi Katsura
This is the final one in the series of papers where we introduce and study the -algebras associated with topological graphs. In this paper, we get a sufficient condition on to…
A class of C^*-algebras generalizing both graph algebras and homeomorphism C^*-algebras III, ideal structures
Takeshi Katsura
We investigate the ideal structures of the C^*-algebras arising from topological graphs. We give the complete description of ideals of such C^*-algebras which are invariant under t…
A class of C^*-algebras generalizing both graph algebras and homeomorphism C^*-algebras II, examples
Takeshi Katsura
We show that the method to construct C^*-algebras from topological graphs, introduced in our previous paper, generalizes many known constructions. We give many ways to make new top…
A class of C^*-algebras generalizing both graph algebras and homeomorphism C^*-algebras I, fundamental results
Takeshi Katsura
We introduce a new class of C^*-algebras, which is a generalization of both graph algebras and homeomorphism C^*-algebras. This class is very large and also very tractable. We prov…