Zobrazeno 1 - 10
of 735
pro vyhledávání: '"P. Laca"'
In the setting of product systems over group-embeddable monoids, we consider nuclearity of the associated Toeplitz C*-algebra in relation to nuclearity of the coefficient algebra. Our work goes beyond the known cases of single correspondences and com
Externí odkaz:
http://arxiv.org/abs/2409.12458
Given a C$^*$-algebra $A$ with an almost periodic time evolution $\sigma$, we define a new C$^*$-algebra $A_c$, which we call the crystal of $(A,\sigma)$, that represents the zero temperature limit of $(A, \sigma)$. We prove that there is a one-to-on
Externí odkaz:
http://arxiv.org/abs/2402.08665
Publikováno v:
Integr. Equ. Oper. Theory (2024) 96:30
We introduce the notion of relative topological principality for a family $\{H_\alpha\}$ of open subgroupoids of a Hausdorff \'etale groupoid $G$. The C*-algebras $C^*_r(H_\alpha)$ of the groupoids $H_\alpha$ embed in $ C^*_r(G)$ and we show that if
Externí odkaz:
http://arxiv.org/abs/2312.03204
We use a groupoid model for the spin algebra to introduce boundary conditions on quantum spin systems via a Poisson point process representation. We can describe KMS states of quantum systems by means of a set of equations resembling the standard DLR
Externí odkaz:
http://arxiv.org/abs/2211.06520
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
We consider the semigroup crossed product of the additive natural numbers by the multiplicative natural numbers. We study its Toeplitz C*-algebra generated by the right-regular representation, which we call the right Toeplitz algebra. We analyse its
Externí odkaz:
http://arxiv.org/abs/2108.09871
Publikováno v:
J. Math. Anal. Appl. 509 (2022) no.2
The C*-algebra generated by the left-regular representation of $\mathbb{N}^n$ twisted by a $2$-cocycle is a Toeplitz extension of an $n$-dimensional noncommutative torus, on which each vector $r \in [0,\infty)^n$ determines a one-parameter subgroup o
Externí odkaz:
http://arxiv.org/abs/2108.09614
Publikováno v:
Analysis & PDE 16 (2023) 1433-1483
We study the structure of C*-algebras associated with compactly aligned product systems over group embeddable right LCM-semigroups. Towards this end we employ controlled maps and a controlled elimination method that associates the original cores to t
Externí odkaz:
http://arxiv.org/abs/2108.07494
We study two classes of operator algebras associated with a unital subsemigroup $P$ of a discrete group $G$: one related to universal structures, and one related to co-universal structures. First we provide connections between universal C*-algebras t
Externí odkaz:
http://arxiv.org/abs/2105.00422
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