Results 31 to 40 of about 197 (138)
A classification of Prüfer domains of integer‐valued polynomials on algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract Let D$D$ be an integrally closed domain with quotient field K$K$ and A$A$ a torsion‐free D$D$‐algebra that is finitely generated as a D$D$‐module and such that A∩K=D$A\cap K=D$. We give a complete classification of those D$D$ and A$A$ for which the ring IntK(A)={f∈K[X]∣f(A)⊆A}$\textnormal {Int}_K(A)=\lbrace f\in K[X] \mid f(A)\subseteq A ...
Giulio Peruginelli, Nicholas J. Werner
wiley +1 more source
Toeplitz Extensions in Noncommutative Topology and Mathematical Physics
, 2020 AbstractWe review the theory of Toeplitz extensions and their role in operator K-theory, including Kasparov’s bivariant K-theory. We then discuss the recent applications of Toeplitz algebras in the study of solid-state systems, focusing in particular on the bulk-edge correspondence for topological insulators.
Arici, F., Mesland, B.
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Noncommutative polygonal cluster algebras
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg +3 more
wiley +1 more source
Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
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Noncommutative topology and Jordan operator algebras [PDF]
Mathematische Nachrichten, 2018 AbstractJordan operator algebras are norm‐closed spaces of operators on a Hilbert space with for all . We study noncommutative topology, noncommutative peak sets and peak interpolation, and hereditary subalgebras of Jordan operator algebras. We show that Jordan operator algebras present perhaps the most general setting for a “full” noncommutative ...
Blecher, David P., Neal, Matthew
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Negativity‐preserving transforms of tuples of symmetric matrices
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract Compared to the entrywise transforms which preserve positive semidefiniteness, those leaving invariant the inertia of symmetric matrices reveal a surprising rigidity. We first obtain the classification of negativity preservers by combining recent advances in matrix analysis with some novel arguments relying on well‐chosen test matrices, Sidon ...
Alexander Belton +3 more
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Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito +3 more
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Topological solitons in the noncommutative plane and quantum Hall Skyrmions [PDF]
Physical Review D, 2005 18 pages (to be published in PRD)
Ezawa, Z. F., Tsitsishvili, G.
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Noncommutative AdS black hole and the IR holographic superconductor
European Physical Journal C: Particles and FieldsWe construct a noncommutative (NC) $$\hbox {AdS}_4$$ AdS 4 -charged black hole with a planar horizon topology. The NC effects of this geometry are captured by a Gaussian distribution of black hole mass codified in a fluid-like energy–momentum tensor.
Manuel de la Cruz-López +3 more
doaj +1 more source
On the topological ranks of Banach ∗$^*$‐algebras associated with groups of subexponential growth
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract Let G$G$ be a group of subexponential growth and C→qG$\mathcal C\overset{q}{\rightarrow }G$ a Fell bundle. We show that any Banach ∗$^*$‐algebra that sits between the associated ℓ1$\ell ^1$‐algebra ℓ1(G|C)$\ell ^1(G\,\vert \,\mathcal C)$ and its C∗$C^*$‐envelope has the same topological stable rank and real rank as ℓ1(G|C)$\ell ^1(G\,\vert ...
Felipe I. Flores
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