51 citations · 96 across the 34 of their papers we have counts for
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math.KT2018
On the Hochschild homology of smash biproducts
Atabey Kaygun, Serkan Sütlü
We develop a new spectral sequence in order to calculate Hochschild homology of smash biproducts (also called twisted tensor products) of unital associative algebras provid…
math.KT2018★ 2 cited
Noncommutative Fibrations
Atabey Kaygun
We show that faithfully flat smooth extensions are reduced flat, and therefore, fit into the Jacobi-Zariski exact sequence in Hochschild homology and cyclic (co)homology even when…
math.RA2018
A graded pullback structure of Leavitt path algebras of trimmable graphs
Piotr M. Hajac, Atabey Kaygun, Mariusz Tobolski
Motivated by recent results in graph C*-algebras concerning an equivariant pushout structure of the Vaksman-Soibelman quantum odd spheres, we introduce a class of graphs called tri…