[HTML][HTML] Rigged modules I: modules over dual operator algebras and the Picard group

DP Blecher, U Kashyap - Journal of Pure and Applied Algebra, 2017 - Elsevier
In a previous paper we generalized the theory of W⁎-modules to the setting of modules over
nonselfadjoint dual operator algebras, obtaining the class of weak⁎-rigged modules. At that …

Rigged modules II: multipliers and duality

DP Blecher - arXiv preprint arXiv:1608.00179, 2016 - arxiv.org
In a previous paper with Kashyap we generalized the theory of $ W^* $-modules to the
setting of modules over nonselfadjoint dual operator algebras, obtaining the class of weak …

A characterization and a generalization of W*-modules

DP Blecher, U Kashyap - arXiv preprint arXiv:0712.1236, 2007 - arxiv.org
We give a new Banach module characterization of $ W^* $-modules, also known as selfdual
Hilbert $ C^* $-modules over a von Neumann algebra. This leads to a generalization of the …

The theory of j-operators with application to (weak) liftings of DG modules

S Nasseh, M Ono, Y Yoshino - Journal of Algebra, 2022 - Elsevier
A major part of this paper is devoted to an in-depth study of j-operators and their properties.
This study enables us to obtain several results on liftings and weak liftings of DG modules …

A characterization and a generalization of 𝑊*-modules

D Blecher, U Kashyap - Transactions of the American Mathematical Society, 2011 - ams.org
We give a new Banach module characterization of $ W^* $-modules, also known as self-
dual Hilbert $ C^* $-modules over a von Neumann algebra. This leads to a generalization of …

Applications of operator space theory to nest algebra bimodules

GK Eleftherakis - Integral Equations and Operator Theory, 2012 - Springer
Abstract Recently, Blecher and Kashyap have generalized the notion of W*-modules over
von Neumann algebras to the setting where the operator algebras are σ closed algebras of …

A Morita theorem for dual operator algebras

U Kashyap - Journal of Functional Analysis, 2009 - Elsevier
We prove that two dual operator algebras are weak∗ Morita equivalent in the sense of [DP
Blecher, U. Kashyap, Morita equivalence of dual operator algebras, J. Pure Appl. Algebra …

Simple Witt modules that are finitely generated over the Cartan subalgebra

X Guo, G Liu, R Lu, K Zhao - arXiv preprint arXiv:1705.03393, 2017 - arxiv.org
Let $ d\ge1 $ be an integer, $ W_d $ and $\mathcal {K} _d $ be the Witt algebra and the weyl
algebra over the Laurent polynomial algebra $ A_d=\mathbb {C}[x_1^{\pm1}, x_2^{\pm1} …

Hilbert -modules over -algebras

CA Bearden - arXiv preprint arXiv:1605.06521, 2016 - arxiv.org
A $\Sigma^* $-algebra is a concrete $ C^* $-algebra that is sequentially closed in the weak
operator topology. We study an appropriate class of $ C^* $-modules over $\Sigma …

Yetter-Drinfeld π-modules over weak T-coalgebras

L Jia - Bulletin of the Brazilian Mathematical Society, New …, 2012 - Springer
InthispaperweintroducethenotionofaweakY…-Drinfeldgroupmodule over a weak T-
coalgebra and give some basic properties. Moreover we also prove that the category of …