Zobrazeno 1 - 10
of 854
pro vyhledávání: '"46L87"'
Autor:
Hartmann, Luiz, Lesch, Matthias
We review the multivariate holomorphic functional calculus for tuples in a commutative Banach algebra and establish a simple "na\"ive" extension to commuting tuples in a general Banach algebra. The approach is na\"ive in the sense that the na\"ively
Externí odkaz:
http://arxiv.org/abs/2411.05484
From the viewpoint of $*$-homomorphism on $C^{*}$-algebras, we establish the principal symbol mapping for filtered manifolds which are locally isomorphic to stratified Lie groups. Let $\mathbb{G}$ be a stratified Lie group, and let $M$ be a filtered
Externí odkaz:
http://arxiv.org/abs/2410.22125
It is shown that van Suijlekom's technique of imposing a set of conditions on operator system spectral triples ensures Gromov-Hausdorff convergence of sequences of sets of unital completely positive maps (equipped with the BW-topology which is metriz
Externí odkaz:
http://arxiv.org/abs/2410.15454
We introduce the notion of (strong) subexponential growth for \'etale groupoids and study its basic properties. In particular, we show that the K-groups of the associated groupoid $L^p$-operator algebras are independent of $p \in [1,\infty)$ whenever
Externí odkaz:
http://arxiv.org/abs/2410.05005
Autor:
Leimbach, Malte
We consider a coamenable compact quantum group $\mathbb{G}$ as a compact quantum metric space if its function algebra $\mathrm{C}(\mathbb{G})$ is equipped with a Lip-norm. By using a projection $P$ onto direct summands of the Peter--Weyl decompositio
Externí odkaz:
http://arxiv.org/abs/2409.16698
Autor:
Joardar, Soumalya, Rahaman, Atibur
In this paper we study a Kahler structure on finite points. In particular, we study the edge Laplacian of a graph twisted by the Kahler structure introduced in this paper. We also discuss a metric aspect from a twisted holomorphic Dolbeault-Dirac spe
Externí odkaz:
http://arxiv.org/abs/2407.11400
Autor:
Biswas, Surajit, Saurabh, Bipul
The notion of spectral dimension was introduced by Chakraborty and Pal in \cite{cp}. In this paper, we show that the spectral dimension of the ring of $p$-adic integers, $\mathbb{Z}_p$, is equal to its manifold dimension, which is $0$. Finally, we de
Externí odkaz:
http://arxiv.org/abs/2406.18890
Autor:
Mesland, Bram, Rennie, Adam
We prove that there is a unique Levi-Civita connection on the one-forms of the Dabrowski-Sitarz spectral triple for the Podle\'{s} sphere $S^{2}_{q}$. We compute the full curvature tensor, as well as the Ricci and scalar curvature of the Podle\'{s} s
Externí odkaz:
http://arxiv.org/abs/2406.18483
Publikováno v:
Annals of Physics 467 (2024) 169718
A gauge invariant mathematical formalism based on deformation quantization is outlined to model an $\mathcal{N}=2$ supersymmetric system of a spin $1/2$ charged particle placed in a nocommutative plane under the influence of a vertical uniform magnet
Externí odkaz:
http://arxiv.org/abs/2405.02239
Publikováno v:
Journal of Mathematical Physics 65(4):043504 (2024)
We investigate the notion of subsystem in the framework of spectral triple as a generalized notion of noncommutative submanifold. In the case of manifolds, we consider several conditions on Dirac operators which turn embedded submanifolds into isomet
Externí odkaz:
http://arxiv.org/abs/2404.16332