Results 61 to 70 of about 17,484 (160)
Noncommutative geometry, topology, and the standard model vacuum [PDF]
Journal of Mathematical Physics, 2006 As a ramification of a motivational discussion for previous joint work, in which equations of motion for the finite spectral action of the standard model were derived, we provide a new analysis of the results of the calculations therein, switching from the perspective of spectral triple to that of Fredholm module and thus from the analogy with ...
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A comparison of Hochschild homology in algebraic and smooth settings
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1249-1269, April 2025.Abstract Consider a complex affine variety V∼$\tilde{V}$ and a real analytic Zariski‐dense submanifold V$V$ of V∼$\tilde{V}$. We compare modules over the ring O(V∼)$\mathcal {O} (\tilde{V})$ of regular functions on V∼$\tilde{V}$ with modules over the ring C∞(V)$C^\infty (V)$ of smooth complex valued functions on V$V$.
David Kazhdan, Maarten Solleveld
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Noncommutative topological dynamics and compact actions on C∗-algebras
Journal of Functional Analysis, 1984 The classical notions of topological transitivity and minimality of a topological dynamical system are extended and analyzed in the context of \(C^*\)-dynamical systems. These notions are compared with other notions naturally arising in noncommutative ergodic theory. As an application, a \(C^*\)-algebra version of a theorem of \textit{H.
LONGO, ROBERTO, Peligrad, Costel
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A general recipe to observe non‐Abelian gauge field in metamaterials
Nanophotonics, Volume 14, Issue 8, Page 1135-1143, April 2025.Abstract Recent research on non‐Abelian phenomena has cast a new perspective on controlling light. In this work, we provide a simple and general approach to induce non‐Abelian gauge field to tremble the light beam trajectory. With in‐plane duality symmetry relaxed, our theoretical analysis finds that non‐Abelian electric field can be synthesized ...
Bingbing Liu, Tao Xu, Zhi Hong Hang
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The Structure of Spacetime and Noncommutative Geometry
, 2008 We give a general and nontechnical review of some aspects of noncommutative geometry as a tool to understand the structure of spacetime. We discuss the motivations for the constructions of a noncommutative geometry, and the passage from commutative to ...
Lizzi, Fedele
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Sesquilinear forms as eigenvectors in quasi *‐algebras, with an application to ladder elements
Mathematische Nachrichten, Volume 298, Issue 3, Page 1062-1075, March 2025.Abstract We consider a particular class of sesquilinear forms on a Banach quasi *‐algebra (A[∥.∥],A0[∥.∥0])$({\cal A}[\Vert .\Vert],{\cal A}_0[\Vert .\Vert _0])$ that we call eigenstates of an element a∈A$a\in {\cal A}$, and we deduce some of their properties.
Fabio Bagarello +2 more
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Noncommutative topological $\mathbb{Z}_2$ invariant
, 2016 We generalize the $\mathbb{Z}_2$ invariant of topological insulators using noncommutative differential geometry in two different ways. First, we model Majorana zero modes by KQ-cycles in the framework of analytic K-homology, and we define the noncommutative $\mathbb{Z}_2$ invariant as a topological index in noncommutative topology.
Kaufmann, Ralph M. +2 more
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Linear independence of coherent systems associated to discrete subgroups
Bulletin of the London Mathematical Society, Volume 57, Issue 2, Page 315-329, February 2025.Abstract This note considers the finite linear independence of coherent systems associated to discrete subgroups. We show by simple arguments that such coherent systems of amenable groups are linearly independent whenever the associated twisted group ring does not contain any nontrivial zero divisors.
Ulrik Enstad, Jordy Timo van Velthoven
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Noncommutative geometry for three-dimensional topological insulators
Physical Review B, 2012 41 pages, 3 ...
Neupert, Titus +4 more
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Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink
Complexity, Volume 2025, Issue 1, 2025.Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi +6 more
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