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Showing 2004 · math.OAShow all
3 papers · 2 filters
math.OA2004
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…
math.OA2004★ 4 cited
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…
math.OA2004★ 5 cited
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…