12 citations · 30 across the 8 of their papers we have counts for
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Two Families of Examples of Groups Acting on Trees with Nontrivial Quasi-Kernels
Nikolay A. Ivanov
We introduce two families of examples of groups acting on trees, one consisting of group amalgamations and the other consisting of HNN-extensions, motivated by the problems of $C^*…
C*-simplicity of HNN extensions and groups acting on trees
Rasmus Sylvester Bryder, Nikolay A. Ivanov, Tron Omland
We study non-ascending HNN extensions acting on their Bass-Serre trees, and characterize C*-simplicity and the unique trace property by means of the kernel and quasi-kernels of the…
C*-simplicity of free products with amalgamation and radical classes of groups
Nikolay A. Ivanov, Tron Omland
We give new characterizations to ensure that a free product of groups with amalgamation has a simple reduced group C*-algebra, and provide a concrete example of an amalgam with tri…
The K-Theory of Toeplitz C*-Algebras of Right-Angled Artin Groups
Nikolay A. Ivanov
To a graph one can associate a C^*-algebra generated by isometries. Such -algebras were studied recently by Crisp and Laca. They are a special case of the Toeplit…
On the Structure of Some Reduced Amalgamated Free Product C*-Algebras
Nikolay A. Ivanov
We study some reduced free products of C*-algebras with amalgamations. We give sufficient conditions for the positive cone of the K_0 group to be the largest possible. We also give…
Reduced Free Products of Finite Dimensional -Algebras
Nikolay A Ivanov
We find a necessary and sufficient conditions for the simplicity and uniqueness of trace for reduced free products of finite families of finite dimensional -algebras with spec…