Results 21 to 30 of about 197 (138)

Noncommutative Topological Entropy of Endomorphisms of Cuntz Algebras [PDF]

Letters in Mathematical Physics, 2008
Noncommutative topological entropy estimates are obtained for polynomial gauge invariant endomorphisms of Cuntz algebras, generalising known results for the canonical shift endomorphisms. Exact values for the entropy are computed for a class of permutative endomorphisms related to branching function systems introduced and studied by Bratteli, Jorgensen
Skalski, Adam, Zacharias, Joachim
openaire   +3 more sources

A NOTE ON THE TOPOLOGICAL ORDER OF NONCOMMUTATIVE HALL FLUIDS [PDF]

International Journal of Modern Physics A, 2007
We evaluate the ground state degeneracy of noncommutative Chern–Simons models on the two-torus, a quantity that is interpreted as the "topological order" of associated phases of Hall fluids. We define the noncommutative theory via T-duality from an ordinary Chern–Simons model with non-Abelian 't Hooft magnetic fluxes.
Barbón, J. L. F., Gerber, D.
openaire   +3 more sources

The noncommutative topology of one-dimensional spaces [PDF]

Pacific Journal of Mathematics, 1989
If \(X\) and \(Y\) are compact topological spaces, the unital star-homomorphisms from \(C(X)\) to \(C(Y)\) satisfy certain homotopy properties when X is an absolute neighborhood retract. We show that two of these properties still hold when \(C(Y)\) is replaced by a ``noncommutative space'', i.e.
openaire   +3 more sources

On the cohomology of finite‐dimensional nilpotent groups and Lie rings

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source

Tensorial permanence of K$K$‐stability for diagonal AH‐algebras

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We study K$K$‐stability for tensor products of diagonal AH‐algebras with arbitrary C*‐algebras. Our main result provides a characterization of K$K$‐stability: For a diagonal AH‐algebra A=lim→(Ai,φi)$A = \varinjlim (A_i, \varphi _i)$, A⊗B$A \otimes B$ is K$K$‐stable for every C*‐algebra B$B$ if and only if the sizes of the matrix blocks in the ...
Apurva Seth
wiley   +1 more source

Quantum Frustration as a Protection Mechanism in Non‐Topological Majorana Qubits

Annalen der Physik, Volume 538, Issue 4, April 2026.
Quantum frustration is proposed as a robust protection mechanism for non‐topological ‐junction qubit. By leveraging distinct spatial profiles, co‐located Majorana modes couple to independent environments, creating incompatible pointer bases that suppress decoherence.
E. Novais
wiley   +1 more source

Noncommutative localization in topology [PDF]

, 2006
A survey of the applications of the noncommutative Cohn localization of rings to the topology of manifolds with infinite fundamental group, with particular emphasis on the algebraic K- and L-theory of generalized free products.
openaire   +2 more sources

Unified topological characterization of electronic states in spin textures from noncommutative K-theory

Physical Review Research
The nontrivial topology of spin systems such as skyrmions in real space can promote complex electronic states. Here, we provide a general viewpoint at the emergence of topological spectral gaps in spin systems based on the methods of noncommutative K ...
Fabian R. Lux, Sumit Ghosh, Pascal Prass, Emil Prodan, Yuriy Mokrousov   +4 more
doaj   +1 more source

Ramanujan–Santos–Sales Hypermodular Operator Theorem and Spectral Kernels for Geometry-Adaptive Neural Operators in Anisotropic Besov Spaces

Axioms
We present Hyperbolic Symmetric Hypermodular Neural Operators (ONHSH), a novel operator learning framework for solving partial differential equations (PDEs) in curved, anisotropic, and modularly structured domains.
Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales   +1 more
doaj   +1 more source

Closed Form Relations and Higher‐Order Approximations of First and Second Derivatives of the Tangent Operator on SE(3)

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 4, April 2026.
ABSTRACT The Lie group SE3$SE\left(3\right)$ of isometric orientation‐preserving transformation is used for modeling multibody systems, robots, and Cosserat continua. The use of these models in numerical simulation and optimization schemes necessitates the exponential map, its right‐trivialized differential (often referred to as the tangent operator ...
Andreas Müller
wiley   +1 more source