Results 61 to 70 of about 525 (181)
Geometry of noncommutative algebras [PDF]
, 2011 There has been several attempts to generalize commutative algebraic geometry to the noncommutative situation. Localizations with good properties rarely exists for noncommutative algebras, and this makes a direct generalization di cult. Our point of view,
Eriksen, Eivind +3 more
core +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper develops the theory of function‐weighted probabilistic metric spaces (FWPMSs) and establishes the existence of common fixed points (CFPs) for commutative mappings within this framework. A key lemma is also introduced to bridge the connection between CFPs and common n‐tuples fixed points.
Ehsan Lotfali Ghasab +3 more
wiley +1 more source
, 2011 In this note we investigate quantizations of the weak topology associated with a pair of dual linear spaces. We prove that the weak topology admits only one quantization called the weak quantum topology, and that weakly matrix bounded sets are precisely
ANAR DOSI, Dosi, Anar
core +1 more source
Topological K-theory of complex noncommutative spaces [PDF]
Compositio Mathematica, 2015 The purpose of this work is to give a definition of a topological K-theory for dg-categories over $\mathbb{C}$ and to prove that the Chern character map from algebraic K-theory
openaire +4 more sources
Topological K‐theory of quasi‐BPS categories for Higgs bundles
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley +1 more source
Average‐Case Matrix Discrepancy: Satisfiability Bounds
Random Structures &Algorithms, Volume 67, Issue 3, October 2025.ABSTRACT Given a sequence of d×d$$ d\times d $$ symmetric matrices {Wi}i=1n$$ {\left\{{\mathbf{W}}_i\right\}}_{i=1}^n $$, and a margin Δ>0$$ \Delta >0 $$, we investigate whether it is possible to find signs (ε1,…,εn)∈{±1}n$$ \left({\varepsilon}_1,\dots, {\varepsilon}_n\right)\in {\left\{\pm 1\right\}}^n $$ such that the operator norm of the signed sum ...
Antoine Maillard
wiley +1 more source
Chern-Simons formulation of noncommutative gravity in three dimensions [PDF]
, 2001 We formulate noncommutative three-dimensional (3D) gravity by making use of its connection with 3D Chern-Simons theory. In the Euclidean sector, we consider the topology T² x R and show that the 3D black hole solves the noncommutative equations.
Bañados, M. +4 more
core +2 more sources
Topologies on the torsion-theoretic spectrum of a noncommutative ring [PDF]
Pacific Journal of Mathematics, 1974 Let jβ-sp be the collection of all prime torsion theories on the category of left i?-modules over an associative ring R. Three topologies — the order topology, the finitary order topology, and the reverse order topology (in the case that R is left noetherian) — are defined on i?-sp and each is shown to exhibit some properties of the Zariski topology on
openaire +3 more sources
Heisenberg‐smooth operators from the phase‐space perspective
Mathematische Nachrichten, Volume 298, Issue 8, Page 2845-2866, August 2025.Abstract Cordes' characterization of Heisenberg‐smooth operators bridges a gap between the theory of pseudo‐differential operators and quantum harmonic analysis (QHA). We give a new proof of the result by using the phase‐space formalism of QHA. Our argument is flexible enough to generalize Cordes' result in several directions: (1) we can admit general ...
Robert Fulsche, Lauritz van Luijk
wiley +1 more source
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
openaire +2 more sources