tensor product — 2 articles found.
Co-Higgs Bundles of Schwarzenberger Type and the Determinant Morphism
Kuntal Banerjee, Department of Pure Mathematics, University of Waterloo, Waterloo, ON Canada N2L 3G1; e-mail: kub129@usask.ca
Abstract/Résumé:
We identify images of the determinant morphism of trace-free co-Higgs bundles modelled on rank 2 Schwarzenberger bundles.
Nous identifions les images du morphisme de déterminant des fibrés co-Higgs à trace zéro, modelés sur les fibrés Schwarzenberger de rang 2.
Keywords: Schwarzenberger bundles, co-Higgs bundles, determinant, tensor product
AMS Subject Classification:
Vector bundles on surfaces and higher-dimensional varieties; and their moduli, Relationships with physics
14J60, 14J81
PDF(click to download): Co-Higgs Bundles of Schwarzenberger Type and the Determinant Morphism
Blends and Alloys
R. Exel, Departamento de Matem ́atica, Universidade Federal de Santa Catarina, 88040-970 Florian ́opolis SC, Brazil; e-mail: exel@mtm.ufsc.br
Abstract/Résumé:
Given two algebras $A$ and $B$, sometimes assumed to be C\*-algebras, we consider the question of putting algebra or C\*-algebra structures on the tensor product $A\otimes B$. In the C\*-case, assuming $B$ to be two-dimensonal, we characterize all possible such C\*-algebra structures in terms of an action of the cyclic group ${\mathbb Z}_2$. An example related to commuting squares is also discussed.
Si $A$ et $B$ sont deux algèbres (resp. deux C\*-algèbres), nous étudions dans cette note les structures possibles d’algèbre (resp. de C\*-algèbre) qui peuvent être définies sur le produit tensoriel $A\otimes B$. Si $A$ est une C\*-algèbre, nous caractérisons toutes les structures de C\*-algèbre sur le produit tensoriel $A\otimes \mathbb{C}^2$ par une action du groupe cyclique $\mathbb{Z}_2$. Nous présentons aussi un exemple associé aux carrés commutatifs.
Keywords: Algebra, C*-algebra, Jones’ basic construction, algebra structure, alloy, blend, commuting square, conditional expectation, crossed product, index finite type, tensor product
AMS Subject Classification:
None of the above; but in this section,
16S99, 46L04
PDF(click to download): Blends and Alloys