Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Kang, Sooran"'
We construct a spectral triple on a quantum Heisenberg manifold, which generalizes the results of Chakraborty and Shinha, and associate to it an energy functional on the set of projections, following the approach of Mathai-Rosenberg to non-linear sig
Externí odkaz:
http://arxiv.org/abs/2203.14279
We study non-linear data-dimension reduction. We are motivated by the classical linear framework of Principal Component Analysis. In nonlinear case, we introduce instead a new kernel-Principal Component Analysis, manifold and feature space transforms
Externí odkaz:
http://arxiv.org/abs/1906.06451
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
The aim of this paper is to study the heat kernel and jump kernel of the Dirichlet form associated to ultrametric Cantor sets $\partial\BB_\Lambda$ that is the infinite path space of the stationary $k$-Bratteli diagram $\BB_\Lambda$, where $\Lambda$
Externí odkaz:
http://arxiv.org/abs/1808.09227
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
Publikováno v:
Ergod. Th. Dynam. Sys. 40 (2020) 1238-1267
In this paper we define the notion of monic representation for the $C^*$-algebras of finite higher-rank graphs with no sources, and undertake a comprehensive study of them. Monic representations are the representations that, when restricted to the co
Externí odkaz:
http://arxiv.org/abs/1804.03455
In this paper, we present a new way to associate a finitely summable spectral triple to a higher-rank graph $\Lambda$, via the infinite path space $\Lambda^\infty$ of $\Lambda$. Moreover, we prove that this spectral triple has a close connection to t
Externí odkaz:
http://arxiv.org/abs/1803.09304
In this paper, we discuss a method of constructing separable representations of the $C^*$-algebras associated to strongly connected row-finite $k$-graphs $\Lambda$. We begin by giving an alternative characterization of the $\Lambda$-semibranching fun
Externí odkaz:
http://arxiv.org/abs/1803.08779
In this monograph we undertake a comprehensive study of separable representations (as well as their unitary equivalence classes) of $C^*$-algebras associated to strongly connected finite $k$-graphs $\Lambda$. We begin with the representations associa
Externí odkaz:
http://arxiv.org/abs/1709.00592