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On the Relative Weak Asymptotic Homomorphism Property for Pairs of Groups von Neumann Algebras
the Relative Weak Asymptotic Homomorphism Property Pairs Groups von Neumann Algebras
2010/11/9
We provide a direct and elementary proof of the equivalence between the weak asymptotic homomorphism property for the pair of group von Neumann algebras $L(H)\subset L(G)$ and the embedding into $H$ ...
Introduction to Normed *-Algebras and their Representations, 7th ed
Introduction Normed *-Algebras Representations
2010/11/11
This book treats: - spectral theory of Banach *-algebras, - basic representation theory of normed *-algebras, - spectral theory of representations of commutative *-algebras. A novel feature of the boo...
Polytopes, Hopf algebras and Quasi-symmetric functions
Polytopes Hopf algebras Quasi-symmetric functions
2010/11/11
In this paper we use the technique of Hopf algebras and quasi-symmetric functions to study the combinatorial polytopes. Consider the free abelian group $\mathcal{P}$ generated by all combinatorial po...
Invariant subalgebras of affine vertex algebras
Invariant subalgebras affine vertex algebras
2010/11/15
Let g be a simple Lie algebra of dimension n over C, and let V_k(g) be the universal affine vertex algebra at level k. Suppose that G is a reductive group of automorphisms of V_k(g) for all k in C, an...
Spatial isomorphisms of algebras of truncated Toeplitz operators
Spatial isomorphisms algebras Toeplitz operators
2010/11/9
We examine when two maximal abelian algebras in the truncated Toeplitz operators are spatially isomorphic. This builds upon recent work of N. Sedlock, who obtained a complete description of the maxima...
Valuation Extensions of Algebras Defined by Monic Gröbner Bases
Algebras Defined Monic Grö bner Bases
2010/11/18
Let $K$ be a field, $\mathcal {O}_v$ a valuation ring of $K$ associated to a valuation $v$: $K\rightarrow\Gamma\cup\{\infty\}$, and ${\bf m}_v$ the unique maximal ideal of $\mathcal {O}_v$. Consider ...
The goal of this paper is to set up an obstruction theory in the context of algebras over an operad and in the framework of differential graded modules over a field. Precisely, the problem we conside...
Quantization of Poisson algebras associated to Lie algebroids
Quantization Poisson algebras Lie algebroids
2010/11/1
We prove the existence of a strict deformation quantization for the canonical Poisson structure on the dual of an integrable Lie algebroid. It follows that any Lie groupoid C*-algebra may be regarded...
Let $A_{n}(S)$ be a coefficient free cluster algebra over a field $K$. A cluster automorphism is an element of $Aut._{K}K(t_{1}, t_{2},..., t_{n})$ which leaves the set of all cluster variables, $\xi_...
Some basic properties of Hom-Leibniz algebras are found. These properties are the Hom-analogue of corresponding well-known properties of Leibniz algebras. Considering the Hom-Akivis algebra associate...
Representations for the restricted Lie color algebras
Representations the restricted Lie color algebras
2010/11/12
The generalized p-characters for the restricted Lie color are defined. The simplicity of the induced modules for the FP triples are determined. As applications, we have obtained an analogue of the Ka...
Algebras graded by discrete Doi-Hopf data and the Drinfeld double of a Hopf group-coalgebra
Algebras discrete Doi-Hopf data the Drinfeld double
2010/11/9
We study Doi-Hopf data and Doi-Hopf modules for Hopf group-coalgebras. We introduce modules graded by a discrete Doi-Hopf datum; to a Doi-Hopf datum over a Hopf group coalgebra, we associate an algebr...
Topological properties of regular generalized function algebras
Topological properties regular generalized function algebras
2010/11/15
We investigate density of various subalgebras of regular generalized functions in the special Colombeau algebra of generalized functions
On isomorphisms of certain functors for Cherednik algebras
certain functors Cherednik algebras
2010/11/8
Bezrukavnikov and Etingof introduced some functors between the categories O for rational Cherednik algebras. Namely, they defined two induction functors Ind_b, ind_\lambda and two restriction functors...
Operator algebras with contractive approximate identities
Operator algebras contractive approximate identities
2010/11/22
We give several applications of a recent theorem of the second author, which solved a conjecture of the first author with Hay and Neal, concerning contractive approximate identities; and another of H...