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Ternary Weakly Amenable C*-algebras and JB*-triples
C*-algebras and JB*-triples Operator Algebras
2012/6/19
A well known result of Haagerup from 1983 states that every C*-algebra A is weakly amenable, that is, every (associative) derivation from A into its dual is inner. A Banach algebra B is said to be ter...
Rigidification of algebras over essentially algebraic theories
homotopy limit theory homotopy model rigidification
2012/6/18
Badzioch and Bergner proved a rigidification theorem saying that each homotopy simplicial algebra is weakly equivalent to a simplicial algebra. The question is whether this result can be extended from...
On the algebraic K-theory of truncated polynomial algebras in several variables
algebraic K-theory truncated polynomial algebras several variables Algebraic Topology
2012/6/14
We consider the algebraic K-theory of a truncated polynomial algebra in several commuting variables, K(k[x_1, ..., x_n]/(x_1^a_1, ..., x_n^a_n)). This naturally leads to a new generalization of the bi...
We discuss the consequences of the Poincar\'e duality, versus AS- Gorenstein property, for Koszul algebras (homogeneous and non homogeneous). For homogeneous Koszul algebras, the Poincar\'e duality pr...
The Mikheev identity in right Hom-alternative algebras
Right Hom-alternative algebra Mikheev identity Rings and Algebras
2012/5/9
It is shown that in every multiplicative right Hom-alternative algebra, a Hom-type generalization of the Mikheev identity holds. It is then inferred that a multiplicative right Hom-alternative algebra...
Dense nuclear Frechet ideals in $C^\star$-algebras
Dense nuclear Frechet ideals Operator Algebras Functional Analysis
2012/5/9
We show that a $C^\star$-algebra $B$ contains a dense Fr\'echet two-sided ideal $A$ satisfying seminorm inequalities $\| a_1 a_2 \|_n \leq
\min \bigl\{\, \|a_1\|_n \|a_2\|_B,\, \|a_1\|_B \|a_2\|_n \...
A characterization of amenability of group actions on $C^\ast$-algebras
characterization amenability group actions $C^\ast$-algebras
2012/4/16
We show that coincidence of the full and reduced crossed product $C^\ast$-algebras of a group action on a unital commutative $C^\ast$-algebra implies amenability of the action whenever the group is ex...
Twisted split category algebras as quasi-hereditary algebras
Group Theory category algebras quasi-hereditary algebras
2012/4/16
A category is called {\em split} if for every morphism $s\colon X\to Y$ there exists a morphism $t\colon Y\to X$ such that $s\circ t\circ s = s$. Let $C$ be a finite split category, let $k$ be a field...
Hochschild homology of Hopf algebras and free Yetter-Drinfeld resolutions of the counit
Hochschild homology of Hopf algebras free Yetter-Drinfeld resolutions the counit K-Theory and Homology
2012/4/18
We show that if $A$ and $H$ are Hopf algebras that have equivalent tensor categories of comodules, then one can transport what we call a free Yetter-Drinfeld resolution of the counit of $A$ to the sam...
Triple Representation Theorem for orthocomplete homogeneous effect algebras
homogeneous effect algebra orthocomplete effect algebra meager-orthocomplete effect algebra lattice effect algebra center
2012/4/18
The aim of our paper is twofold. First, we thoroughly study the set of meager elements $M(E)$, the set of sharp elements $S(E)$ and the center $C(E)$ in the setting of meager-orthocomplete homogeneous...
Triple Representation Theorem for homogeneous effect algebras
Homogeneous effect algebra TRT-effect algebra orthocomplete effect algebra lattice effect algebra
2012/4/18
The aim of our paper is to prove the Triple Representation Theorem, which was established by Jen\v{c}a in the setting of complete lattice effect algebras, for a special class of homogeneous effect alg...
Free evolution on algebras with two states II
Free evolution algebras two states II Operator Algebras
2012/4/17
Denote by $J$ the operator of coefficient stripping. We show that for any free convolution semigroup of measures $\nu_t$ with finite variance, applying a single stripping produces semicircular evoluti...
Reflexive Operator Algebras on Banach Spaces
operator algebras invariant subspace lattice Boolean algebra of projections spectral operator
2012/4/18
In this paper we study the reflexivity of a unital strongly closed algebra of operators with complemented invariant subspace lattice on a Banach space. We prove that if such an algebra contains a comp...
Asymptotic Hecke algebras and involutions
Asymptotic Hecke algebras involutions Representation Theory
2012/4/17
In a previous paper the author and D. Vogan defined and studied a Hecke algebra module structure on a vector space spanned by the involutions in a Weyl group. In this paper this study is continued by ...
Graded Skew Clifford Algebras that are Twists of Graded Clifford Algebras
regular algebra Clifford algebra skew Clifford algebra twist by an automorphism
2012/4/17
We prove that if $A$ is a regular graded skew Clifford algebra and is a twist of a regular graded Clifford algebra $B$ by an automorphism, then the subalgebra of $A$ generated by a certain normalizing...