Zobrazeno 1 - 10
of 127
pro vyhledávání: '"Packer, Judith A."'
In this paper we generalize the concept of classical spectral triples by extending the framework from Hilbert spaces to $L^p$-spaces, and from C*-algebras to $L^p$-operator algebras, $p \in [1, \infty)$. Specifically, we construct $L^p$-spectral trip
Externí odkaz:
http://arxiv.org/abs/2411.13735
We address the natural question: as noncommutative solenoids are inductive limits of quantum tori, do the standard spectral triples on quantum tori converge to some spectral triple on noncommutative solenoid for the spectral propinquity? We answer th
Externí odkaz:
http://arxiv.org/abs/2403.16323
Publikováno v:
Adv. Math. 437 (2024), Paper No. 109442, 59 pp
In the context of metric geometry, we introduce a new necessary and sufficient condition for the convergence of an inductive sequence of quantum compact metric spaces for the Gromov-Hausdorff propinquity, which is a noncommutative analogue of the Gro
Externí odkaz:
http://arxiv.org/abs/2301.00274
In this paper we construct odd finitely summable spectral triples based on length functions of bounded doubling on noncommutative solenoids. Our spectral triples induce a Leibniz Lip-norm on the state spaces of the noncommutative solenoids, giving th
Externí odkaz:
http://arxiv.org/abs/2212.07470
We consider groupoids constructed from a finite number of commuting local homeomorphisms acting on a compact metric space, and study generalized Ruelle operators and $ C^{\ast} $-algebras associated to these groupoids. We provide a new characterizati
Externí odkaz:
http://arxiv.org/abs/2010.03036
The wavelet group and wavelet representation associated with shifts coming from a two dimensional crystal symmetry group $\Gamma$ and dilations by powers of 3, are defined and studied. The main result is an explicit decomposition of the $3\Gamma-$wav
Externí odkaz:
http://arxiv.org/abs/2002.03047
We investigate critical points and minimizers of the Yang-Mills functional YM on quantum Heisenberg manifolds $D^c_{\mu\nu}$, where the Yang-Mills functional is defined on the set of all compatible linear connections on finitely generated projective
Externí odkaz:
http://arxiv.org/abs/1810.08486
For a finite, strongly connected $k$-graph $\Lambda$, an Huef, Laca, Raeburn and Sims studied the KMS states associated to the preferred dynamics of the $k$-graph $C^*$-algebra $C^*(\Lambda)$. They found that these KMS states are determined by the pe
Externí odkaz:
http://arxiv.org/abs/1807.08665
We study purely atomic representations of C*-algebras associated to row-finite and source-free higher-rank graphs. We describe when purely atomic representations are unitarily equivalent and we give necessary and sufficient conditions for a purely at
Externí odkaz:
http://arxiv.org/abs/1806.03570
In this note, we present a new way to associate a spectral triple to the noncommutative $C^*$-algebra $C^*(\Lambda)$ of a strongly connected finite higher-rank graph $\Lambda$. We generalize a spectral triple of Consani and Marcolli from Cuntz-Kriege
Externí odkaz:
http://arxiv.org/abs/1804.05209