Results 21 to 30 of about 34,464 (177)
Strictly Cyclic Functionals, Reflexivity, and Hereditary Reflexivity of Operator Algebras
Abstract and Applied Analysis, 2012 This paper is concerned with strictly cyclic functionals of operator algebras on Banach spaces. It is shown that if X is a reflexive Banach space and A is a norm-closed semisimple abelian subalgebra of B(X) with a strictly cyclic functional f∈X∗, then A ...
Quanyuan Chen, Xiaochun Fang
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On split involutive regular BiHom-Lie superalgebras
Open Mathematics, 2020 The goal of this paper is to examine the structure of split involutive regular BiHom-Lie superalgebras, which can be viewed as the natural generalization of split involutive regular Hom-Lie algebras and split regular BiHom-Lie superalgebras.
Guo Shuangjian +2 more
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On the Tensor Products of Maximal Abelian JW-Algebras
International Journal of Mathematics and Mathematical Sciences, 2009 It is well known in the work of Kadison and Ringrose (1983)that if 𝐴 and 𝐵 are maximal abelian von Neumann subalgebras of von Neumann algebras 𝑀 and 𝑁, respectively, then 𝐴⊗𝐵 is a maximal abelian von Neumann subalgebra of 𝑀⊗𝑁.
F. B. H. Jamjoom
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Abelian subalgebras on Lie algebras
Communications in Contemporary Mathematics, 2015 Abelian subalgebras play an important role in the study of Lie algebras and their properties and structures. In this paper, the historical evolution of this concept is shown, analyzing the current status for the research on this topic. So, the main results obtained from previous years are indicated and commented here.
Ceballos González, Manuel +2 more
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The dual pair Pin(2n)×osp(1|2), the Dirac equation and the Bannai–Ito algebra
Nuclear Physics B, 2018 The Bannai–Ito algebra can be defined as the centralizer of the coproduct embedding of osp(1|2) in osp(1|2)⊗n. It will be shown that it is also the commutant of a maximal Abelian subalgebra of o(2n) in a spinorial representation and an embedding of the ...
Julien Gaboriaud +3 more
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The radial MASA in free orthogonal quantum groups [PDF]
, 2016 We prove that the radial subalgebra in free orthogonal quantum group factors is maximal abelian and mixing, and we compute the associated bimodule. The proof relies on new properties of the Jones-Wenzl projections and on an estimate of certain scalar ...
Freslon, Amaury, Vergnioux, Roland
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Some remarks on regular subgroups of the affine group [PDF]
International Journal of Group Theory, 2012 Let $V$ be a vector space over a field $F$ of characteristic $pgeq 0$ and let $T$ be a regular subgroup of the affine group $AGL(V)$. In the finite dimensional case we show that, if $T$ is abelian or $p>0$, then $T$ is unipotent. For $T$ abelian, pushing
M. Chiara Tamburini Bellani
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Non-Abelian T-duality and modular invariance
Nuclear Physics B, 2018 Two-dimensional σ-models corresponding to coset CFTs of the type (gˆk⊕hˆℓ)/hˆk+ℓ admit a zoom-in limit involving sending one of the levels, say ℓ, to infinity.
Benjo Fraser +2 more
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The Kadison-Singer problem for the direct sum of matrix algebras [PDF]
, 2010 Let $M_n$ denote the algebra of complex $n\times n $ matrices and write $M$ for the direct sum of the $M_n$. So a typical element of $M$ has the form \[x = x_1\oplus x_2 \... \oplus x_n \oplus \...,\] where $x_n \in M_n$ and $\|x\| = \sup_n\|x_n\|$.
Akemann, Charles +2 more
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Cartan subalgebras in C*-algebras of Hausdorff etale groupoids
, 2016 The reduced $C^*$-algebra of the interior of the isotropy in any Hausdorff \'etale groupoid $G$ embeds as a $C^*$-subalgebra $M$ of the reduced $C^*$-algebra of $G$.
A. Huef +25 more
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