26 citations · 56 across the 13 of their papers we have counts for
8 papers · 1 filter
Inertial Hopf-cyclic homology
Tomasz Maszczyk, Serkan Sütlü
We construct, study, and apply a characteristic map from the relative periodic cyclic homology of the quotient map for a group action to the periodic Hopf-cyclic homology with coef…
Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients
B. Rangipour, S. Sütlü, F. Yazdani Aliabadi
We discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebra . More precisely, we introduce a multiplicative stru…
Hochschild Cohomology of Reduced Incidence Algebras
Müge Kanuni, Atabey Kaygun, Serkan Sütlü
We compute the Hochschild cohomology of the reduced incidence algebras such as the algebra of formal power series, the algebra of exponential power series, the algebra of Eulerian…
Hopf-dihedral (co)homology and -theory
A. Kaygun, S. Sütlü
We develop an appropriate dihedral extension of the Connes-Moscovici characteristic map for Hopf *-algebras. We then observe that one can use this extension together with the dihed…
Topological Hopf algebras and their Hopf-cyclic cohomology
Bahram Rangipour, Serkan Sütlü
A natural extension of the Hopf-cyclic cohomology, with coefficients, is introduced to encompass topological Hopf algebras. The topological theory allows to work with infinite dime…
Cyclic homology for Hom-associative algebras
Mohammad Hassanzadeh, Ilya Shapiro, Serkan Sütlü
In the present paper we investigate the noncommutative geometry of a class of algebras, called the Hom-associative algebras, whose associativity is twisted by a homomorphism. We de…
Cyclic Homology and Quantum Orbits
Tomasz Maszczyk, Serkan Sütlü
A natural isomorphism between the cyclic object computing the relative cyclic homology of a homogeneous quotient-coalgebra-Galois extension, and the cyclic object computing the cyc…
Hopf-cyclic Cohomology of Quantum Enveloping Algebras
Atabey Kaygun, Serkan Sütlü
In this paper we calculate both the periodic and non-periodic Hopf-cyclic cohomology of Drinfeld-Jimbo quantum enveloping algebra for an arbitrary semi-simple L…