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If X is a compact Hausdorff space, supplied with a homeomorphism, then a crossed product involutive Banach algebra is naturally associated with these data. If X consists of one point, then this algebr...
We study the C*-algebra of an affine map on a compact abelian group and give necessary and sufficient conditions for strong transitivity when the group is a torus. The structure of the C*-algebra is c...
Abstract: In this work, we aim to prove algebra properties for generalized Sobolev spaces $W^{s,p} \cap L^\infty$ on a Riemannian manifold, where $W^{s,p}$ is of Bessel-type $W^{s,p}:=(1+L)^{-s/m}(L^p...
We establish a correspondence between Young diagrams and differential operators of infinitely many variables. These operators form a commutative associative algebra isomorphic to the algebra of the co...
We construct a family of orthogonal characters of an algebra group which decompose the supercharacters defined by Diaconis and Isaacs [6]. Like supercharacters, these characters are given by nonnegat...
We give an abstract construction, based on the Belavin-Polyakov-Zamolodchikov equations, of a family of vertex operator algebras of rank 26 associated to the modified regular representations of the V...
In this paper, we quantize universal gauge groups such as SU(∞), as well as their homogeneous spaces, in the -C-algebra setting.
The N = 4, d = 4 Yang–Mills conformal supersymmetry exhibits a very simple sub-sector adescribed by four differential operators. The invariance under this subalgebra is big enough to determine the N =...
In this article, we give an explicit formula for the universal weight function of the quantum twisted affine algebra Uq(A(2)2 ). The calculations use the technique of projecting products of Drinfeld...
In this article, we study the moonshine vertex operator algebra starting with the tensor product of three copies of the vertex operator algebra V + √2E8 , and describe it by the quadratic space over...

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