Zobrazeno 1 - 10
of 146
pro vyhledávání: '"Larsen, Nadia S."'
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 prove a version of the result in the title that makes use of maximal coactions in the context of discrete groups. Earlier Gauge-Invariant Uniqueness theorems for $C^*$-algebras associated to $P$-graphs and similar $C^*$-algebras exploited a proper
Externí odkaz:
http://arxiv.org/abs/2211.16407
We generalise recent results of Afsar, Larsen and Neshveyev for product systems over quasi-lattice orders by showing that the equilibrium states of quasi-free dynamics on the Nica-Toeplitz $C^*$-algebras of product systems over right LCM monoids must
Externí odkaz:
http://arxiv.org/abs/2205.10786
Autor:
Larsen, Nadia S., Vdovina, Alina
We define $k$-dimensional digraphs and initiate a study of their spectral theory. The $k$-dimensional digraphs can be viewed as generating graphs for small categories called $k$-graphs. Guided by geometric insight, we obtain several new series of $k$
Externí odkaz:
http://arxiv.org/abs/2111.09120
Graph products of groups were introduced by Green in her thesis. They have an operator algebraic counterpart introduced and explored by Fima and the first-named author. In this paper we prove Khintchine type inequalities for general C$^{\ast}$-algebr
Externí odkaz:
http://arxiv.org/abs/1912.09061
We study the internal structure of $C^*$-algebras of right LCM monoids by means of isolating the core semigroup $C^*$-algebra as the coefficient algebra of a Fock-type module on which the full semigroup $C^*$-algebra admits a left action. If the semi
Externí odkaz:
http://arxiv.org/abs/1902.02674
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
Publikováno v:
Comm. Math. Phys. 378 (2020), no. 3, 1875-1929
Given a quasi-lattice ordered group $(G,P)$ and a compactly aligned product system $X$ of essential C$^*$-correspondences over the monoid $P$, we show that there is a bijection between the gauge-invariant KMS$_\beta$-states on the Nica-Toeplitz algeb
Externí odkaz:
http://arxiv.org/abs/1807.05822
Publikováno v:
J. Geom. Phys. 136 (2019), 268-283
We consider the Hecke pair consisting of the group $P^+_K$ of affine transformations of a number field $K$ that preserve the orientation in every real embedding and the subgroup $P^+_O$ consisting of transformations with algebraic integer coefficient
Externí odkaz:
http://arxiv.org/abs/1804.01733
Publikováno v:
J. Math. Anal. Appl. 470 (2019), no. 1, 532-570
We prove uniqueness of representations of Nica-Toeplitz algebras associated to product systems of $C^*$-correspondences over right LCM semigroups by applying our previous abstract uniqueness results developed for $C^*$-precategories. Our results prov
Externí odkaz:
http://arxiv.org/abs/1706.04951