5 citations · 16 across the 16 of their papers we have counts for
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On certain properties of Cuntz--Krieger type algebras
Bernhard Burgstaller
The note presents a further study of the class of Cuntz--Krieger type algebras. A necessary and sufficient condition is identified that ensures that the algebra is purely infinite,…
A Cuntz--Krieger uniqueness theorem for semigraph -algebras
Bernhard Burgstaller
Higher rank semigraph algebras are introduced by mixing concepts of ultragraph algebras and higher rank graph algebras. This yields a kind of higher rank generalisation of ultragra…
A descent homomorphism for semimultiplicative sets
Bernhard Burgstaller
We define and provide some basic analysis of various types of crossed products by semimultiplicative sets, and then prove a -theoretical descent homomorphisms for semimultiplic…
On freely generated semigraph -algebras
Bernhard Burgstaller
For special universal -algebras associated to -semigraphs we present the universal representations of these algebras, prove a Cuntz--Krieger uniqueness theorem, and compute…