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math.OA2015★ 1 cited
Complete Characterization of K-Theory for C*-algebras Associated to Locally Finite Unoriented Graphs
Nikolay Ivankov, Natalia Iyudu
In this paper we give a complete description of K-theory groups for Cuntz-Krieger C*-algebras associated to general locally-finite (topologically connected) graphs via Bass-Hashimo…
math.RA2015
Optimal 5-step nilpotent quadratic algebras
Natalia Iyudu, Stanislav Shkarin
By the Golod--Shafarevich Theorem, an associative algebra R given by n generators and d<n^2/3 homogeneous quadratic relations is not 5-step nilpotent. We prove that this estimate i…