566 citations
- Okayama University of ScienceJP2 papers
- The University of TokyoJP2 papers
- Argonne National LaboratoryUS1 paper
- Australian National UniversityAU1 paper
- Dalle Molle Institute for Artificial Intelligence ResearchCH1 paper
- ETH ZurichCH1 paper
- Hamburger Fern-HochschuleDE1 paper
- Hokkai Gakuen UniversityJP1 paper
- Ibaraki UniversityJP1 paper
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR1 paper
- Joint Institute for Nuclear AstrophysicsUS1 paper
- Kanagawa Academy of Science and TechnologyJP1 paper
5 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…
Approximate AF flows
Akitaka Kishimoto
When is a flow on a unital AF algebra such that there is an increasing sequence of finite-dimensional -invariant C*-subalgebras of with dense union, we call an A…
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…
C^*-algebras generated by scaling elements
Takeshi Katsura
We investigate C^*-algebras generated by scaling elements. We generalize the Wold decomposition and Coburn's theorem on isometries to scaling elements. We also completely determine…