44 citations · 307 across the 35 of their papers we have counts for
34 papers · 1 filter
Metrics on completely positive maps via noncommutative geometry
Are Austad, Erik Bédos, Jonas Eidesen +2
We study methods of inducing metrics on unital completely positive maps by employing seminorms arising in noncommutative geometry. Our main approach relies on the development of an…
Simplicity of -algebras of non-Hausdorff -multispinal groupoids
C. Farsi, N. S. Larsen, J. Packer +1
We study simplicity of -algebras arising from self-similar groups of -multispinal type, a generalization of the Grigorchuk case whose simplicity was first proved…
Spectral Triples for Noncommutative Solenoids and a Wiener's lemma
Carla Farsi, Therese Basa Landry, Nadia S. Larsen +1
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 L…
Gauge-invariant uniqueness theorems for -graphs
Robert Huben, S. Kaliszewski, Nadia S. Larsen +1
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 -algebras…
KMS states of quasi-free dynamics on -algebras of product systems over right LCM monoids
Luca Eva Gazdag, Marcelo Laca, Nadia S. Larsen
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-…
Higher dimensional digraphs from cube complexes and their spectral theory
Nadia S. Larsen, Alina Vdovina
We define -dimensional digraphs and initiate a study of their spectral theory. The -dimensional digraphs can be viewed as generating graphs for small categories called -gr…
Graph product Khintchine inequalities and Hecke C*-algebras: Haagerup inequalities, (non)simplicity, nuclearity and exactness
Martijn Caspers, Mario Klisse, Nadia S. Larsen
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 pap…
-algebras of right LCM monoids and their equilibrium states
Nathan Brownlowe, Nadia S. Larsen, Jacqui Ramagge +1
We study the internal structure of -algebras of right LCM monoids by means of isolating the core semigroup -algebra as the coefficient algebra of a Fock-type module on wh…
KMS states on Nica-Toeplitz C*-algebras
Zahra Afsar, Nadia S. Larsen, Sergey Neshveyev
Given a quasi-lattice ordered group and a compactly aligned product system of essential C-correspondences over the monoid , we show that there is a bijection bet…
Generalized gauge actions on -graph -algebras: KMS states and Hausdorff structure
Carla Farsi, Elizabeth Gillaspy, Nadia S. Larsen +1
For a finite, strongly connected -graph , an Huef, Laca, Raeburn and Sims studied the KMS states associated to the preferred dynamics of the -graph -algebra .…
Ground states of groupoid C*-algebras, phase transitions and arithmetic subalgebras for Hecke algebras
Marcelo Laca, Nadia S. Larsen, Sergey Neshveyev
We consider the Hecke pair consisting of the group of affine transformations of a number field that preserve the orientation in every real embedding and the subgroup $P…
Nica-Toeplitz algebras associated with product systems over right LCM semigroups
Bartosz K. Kwasniewski, Nadia S. Larsen
We prove uniqueness of representations of Nica-Toeplitz algebras associated to product systems of -correspondences over right LCM semigroups by applying our previous abstract…
Subgroup correspondences
S. Kaliszewski, Nadia S. Larsen, John Quigg
For a closed subgroup of a locally compact group the Rieffel induction process gives rise to a -correspondence over the -algebra of the subgroup. We study the associated…
Nica-Toeplitz algebras associated with right tensor -precategories over right LCM semigroups
Bartosz K. Kwaśniewski, Nadia S. Larsen
We introduce and analyze the full and the reduced Nica-Toeplitz algebra associated to an ideal…
C*-Algebras of algebraic dynamical systems and right LCM semigroups
Nathan Brownlowe, Nadia S. Larsen, Nicolai Stammeier
We introduce algebraic dynamical systems, which consist of an action of a right LCM semigroup by injective endomorphisms of a group. To each algebraic dynamical system we associate…
von Neuman algebras of strongly connected higher-rank graphs
Marcelo Laca, Nadia S. Larsen, Sergey Neshveyev +2
We investigate the factor types of the extremal KMS states for the preferred dynamics on the Toeplitz algebra and the Cuntz--Krieger algebra of a strongly connected finite -grap…
On C*-algebras associated to right LCM semigroups
Nathan Brownlowe, Nadia S. Larsen, Nicolai Stammeier
We initiate the study of the internal structure of C*-algebras associated to a left cancellative semigroup in which any two principal right ideals are either disjoint or intersect…
Positive definite -spherical functions, property (T), and -completions of Gelfand pairs
Nadia S. Larsen, Rui Palma
The study of existence of a universal -completion of the -algebra canonically associated to a Hecke pair was initiated by Hall, who proved that the Hecke algebra associate…
Partial actions and KMS states on relative graph -algebras
Toke M. Carlsen, Nadia S. Larsen
The relative graph -algebras introduced by Muhly and Tomforde are generalizations of both graph algebras and their Toeplitz extensions. For an arbitrary graph and a subset…
KMS states on Nica-Toeplitz algebras of product systems
Jeong Hee Hong, Nadia S. Larsen, Wojciech Szymański
We investigate KMS states of Fowler's Nica-Toeplitz algebra associated to a compactly aligned product system over a semigroup of Hilbert bimodules. This a…
The Cuntz Algebra Q_N and C*-Algebras of Product Systems
Jeong Hee Hong, Nadia S. Larsen, Wojciech Szymanski
We consider a product system over the multiplicative semigroup N^x of Hilbert bimodules which is implicit in work of S. Yamashita and of the second named author. We prove directly,…
Inner coactions, Fell bundles, and abstract uniqueness theorems
S. Kaliszewski, Nadia S. Larsen, John Quigg
We prove gauge-invariant uniqueness theorems with respect to maximal and normal coactions for -algebras associated to product systems of -correspondences. Our techniques…
The 2-adic ring -algebra of the integers and its representations
Nadia S. Larsen, Xin Li
We study the 2-adic version of the ring -algebra of the integers. First, we work out the precise relation between the Cuntz algebra $\cO_2$ and our 2-adic ring -algebra i…
Dilations of semigroup crossed products as crossed products of dilations
Nadia S. Larsen, Xin Li
Laca constructed a minimal automorphic dilation for every semigroup dynamical system arising from an action of an Ore semigroup by injective endomorphisms of a unital -algebra…