Zobrazeno 1 - 10
of 224
pro vyhledávání: '"Huef, Astrid an"'
We prove the equivalence of two definitions of AF groupoid in the literature: one by Renault and the other by Farsi, Kumjian, Pask and Sims. In both definitions, an AF groupoid is an increasing union of more basic groupoids, called elementary groupoi
Externí odkaz:
http://arxiv.org/abs/2309.03413
Autor:
Courtney, Kristin, Duwenig, Anna, Georgescu, Magdalena C., Huef, Astrid an, Viola, Maria Grazia
We consider a twist $E$ over an \'etale groupoid $G$. When $G$ is principal, we prove that the nuclear dimension of the reduced twisted groupoid $\mathrm{C}^*$-algebra is bounded by a number depending on the dynamic asymptotic dimension of $G$ and th
Externí odkaz:
http://arxiv.org/abs/2211.00547
We study stable finiteness of extensions of 2-graph C*-algebras determined by saturated hereditary sets of vertices. We use two iterations of the Pimsner-Voiculescu sequence to calculate the map in K-theory induced by the inclusion of a hereditary su
Externí odkaz:
http://arxiv.org/abs/2111.15165
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. Operator Theory 89 (2023), 285--299
We consider a locally compact Hausdorff groupoid $G$ which is graded over a discrete group. Then the fibre over the identity is an open and closed subgroupoid $G_e$. We show that both the full and reduced C*-algebras of this subgroupoid embed isometr
Externí odkaz:
http://arxiv.org/abs/2107.03650
Autor:
Courtney, Kristin, Duwenig, Anna, Georgescu, Magdalena C., an Huef, Astrid, Viola, Maria Grazia
Publikováno v:
In Journal of Functional Analysis 1 May 2024 286(9)
Publikováno v:
Expositiones Mathematicae 40 (2021), 127--139
We investigate various groupoids associated to an arbitrary inverse semigroup with zero. We show that the groupoid of filters with respect to the natural partial order is isomorphic to the groupoid of germs arising from the standard action of the inv
Externí odkaz:
http://arxiv.org/abs/2010.16113
We study the semigroup C*-algebra of a positive cone P of a weakly quasi-lattice ordered group. That is, P is a subsemigroup of a discrete group G with P\cap P^{-1}=\{e\} and such that any two elements of P with a common upper bound in P also have a
Externí odkaz:
http://arxiv.org/abs/1910.04898
Autor:
Huef, Astrid an, Raeburn, Iain
We consider a family of operator-algebraic dynamical systems involving the Toeplitz algebras of higher-rank graphs. We explicitly compute the KMS states (equilibrium states) of these systems built from small graphs with up to four connected component
Externí odkaz:
http://arxiv.org/abs/1905.01001
In this note we show that every Kirchberg algebra in the UCT class is the $C^{\ast}$-algebra of a Hausdorff, ample, amenable and locally contracting groupoid. The non-unital case follows from Spielberg's graph-based models for Kirchberg algebras. Our
Externí odkaz:
http://arxiv.org/abs/1904.07431