Abstract We investigate if, for a locally compact group G , the Fourier algebra A ( G ) is biflat in the sense of quantized Banach homology. A central role in our investigation is played by the… Expand

We consider Akbarov's holomorphic version of the non-commutative Pontryagin duality for a complex Lie group. We prove, under the assumption that $G$ is a Stein group with finitely many components,… Expand

The local structure of flat Banach modules is considered; in particular, it is shown that if a flat module has the approximation property, then it is freely approximable, that is, the identity… Expand

In this article we prove that the global homological dimension of a separable -algebra containing a bi-ideal of finite codimension that cannot be complemented as a subalgebra is at least 2. As a… Expand

We study topological Hopf algebras that are holomorphically finitely generated (HFG) as Frechet Arens-Micheal algebras in the sense of Pirkovskii. Some of them but not all can be obtained from affine… Expand

X iv :2 10 4. 03 23 0v 1 [ m at h. FA ] 7 A pr 2 02 1 AN ANALYTIC CRITERION FOR THE LOCAL FINITENESS OF A COUNTABLE SEMIGROUP O. YU. ARISTOV Abstract. We prove that a countable semigroup S is locally… Expand

We characterize open embeddings of Stein spaces and of $C^\infty$-manifolds in terms of certain flatness-type conditions on the respective homomorphisms of function algebras.