Hopf cohomology vanishing via approximation by Hochschild cohomology
Incidence algebras and algebraic fundamental group.
Introduction to cochains of differential operators
La K-théorie stable
MacLane homology and topological Hochschild homology.
Non-abelian cohomology of associative algebras. The -term exact sequence
Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers
Let be a dg algebra over and let be a dg -bimodule. We show that under certain technical hypotheses on , a noncommutative analog of the Hodge-to-de Rham spectral sequence starts at the Hochschild homology of the derived tensor product and converges to the Hochschild homology of . We apply this result to bordered Heegaard Floer theory, giving spectral sequences associated to Heegaard Floer homology groups of certain branched and unbranched double covers.
On (Co)homology of triangular Banach algebras
Suppose that A and B are unital Banach algebras with units and , respectively, M is a unital Banach A,B-module, is the triangular Banach algebra, X is a unital -bimodule, , , and . Applying two nice long exact sequences related to A, B, , X, , , and we establish some results on (co)homology of triangular Banach algebras.
On Galois descent for Hochschild and cyclic homology.
On stable K-theory and topological Hochschild homology.
On the classification of Moore algebras and their deformations.
On the Connes operator in Hochschild homology.
On the deformation theory of finite dimensional algebras.
On the double Poincaré series of the enveloping algebras of certain graded Lie algebras.
On the Steenrod operations in cyclic cohomology.
Open/Closed string topology and moduli space actions via open/closed Hochschild actions.
Orbit algebras that are invariant under stable equivalences of Morita type
In this note we show that there are a lot of orbit algebras that are invariant under stable equivalences of Morita type between self-injective algebras. There are also indicated some links between Auslander-Reiten periodicity of bimodules and noetherianity of their orbit algebras.
Quillen cohomology and Baues-Wirsching cohomology of algebraic, theories
Realizing maps between modules over Tate cohomology rings.
Reflexive and dihedral (co)homology of a pre-additive category.