2 citations · 3 across the 2 of their papers we have counts for
5 papers
Efficient Presentations of Relative Cuntz-Krieger Algebras
Lisa Orloff Clark, Yosafat E. P. Pangalela
In this article, we present a new method to study relative Cuntz-Krieger algebras for higher-rank graphs. We only work with edges rather than paths of arbitrary degrees. We then us…
Cohn path algebras of higher-rank graphs
Lisa Orloff Clark, Yosafat E. P. Pangalela
In this article, we introduce Cohn path algebras of higher-rank graphs. We prove that for a higher-rank graph , there exists a higher-rank graph such that the Cohn path alg…
Kumjian-Pask algebras of finitely-aligned higher-rank graphs
Lisa Orloff Clark, Yosafat E. P. Pangalela
We extend the the definition of Kumjian-Pask algebras to include algebras associated to finitely aligned higher-rank graphs. We show that these Kumjian-Pask algebras are universall…
-dual spaces associated to a normed space
Yosafat E. P. Pangalela
For a real normed space , we study the -dual space of and show that the space is a Banach space. Meanwhile, for a real normed…
Realising the Toeplitz algebra of a higher-rank graph as a Cuntz-Krieger algebra
Yosafat E. P. Pangalela
For a row-finite higher-rank graph Λ, we construct a higher-rank graph TΛ such that the Toeplitz algebra of Λ is isomorphic to the Cuntz-Krieger algebra of TΛ. We then prove that t…