Quantum tori are limits of finite dimensional C*-algebras for the quantum Gromov-Hausdorff propinquity, a metric defined by the author as a strengthening of Rieffel’s quantum Gromov-Hausdorff designed to retain the C*-algebraic structure. In this paper, we propose a proof of the continuity of the family of quantum and fuzzy tori which relies on explicit representations of the C*-algebras rather than on more abstract arguments, in a manner which takes full advantage of the notion of bridge defining the quantum propinquity
We classify all weak * limits of squares of normalized eigenfunctions of the Laplacian on two-dimens...
We generalize the Fej\'er-Riesz operator systems defined for the circle group by Connes and van Suij...
T. We construct a topology on the class of pointed proper quantum metric spaces which generalizes th...
Quantum tori are limits of finite dimensional C*-algebras for the quantum Gromov-Hausdorff propinqui...
AbstractWe establish that, given a compact Abelian group G endowed with a continuous length function...
We prove that noncommutative solenoids are limits, in the sense of the Gromov-Hausdorff propinquity,...
Our dissertation focuses on bringing approximately finite-dimensional (AF) algebras into the realm o...
Over the last 25 years, the notion of "fuzzy spaces" has become ubiquitous in the high-energy physic...
It is proved that the family of equivalence classes of Lip-normed C*-algebras introduced by M. Rieff...
We present a survey of the dual Gromov-Hausdorff propinquity, a noncommutative analogue of the Gromo...
We introduce the quantum Gromov-Hausdorff propinquity, a new distance between quantum compact metric...
summary:We introduce a fuzzy equality for $F$-observables on an $F$-quantum space which enables us t...
It will be shown that the defining relations for fuzzy torus and deformed (squashed) sphere proposed...
In the first part of this thesis, we will follow Kirchberg’s categorical perspective to establish ne...
AbstractIt is proved that the family of equivalence classes of Lip-normed C*-algebras introduced by ...
We classify all weak * limits of squares of normalized eigenfunctions of the Laplacian on two-dimens...
We generalize the Fej\'er-Riesz operator systems defined for the circle group by Connes and van Suij...
T. We construct a topology on the class of pointed proper quantum metric spaces which generalizes th...
Quantum tori are limits of finite dimensional C*-algebras for the quantum Gromov-Hausdorff propinqui...
AbstractWe establish that, given a compact Abelian group G endowed with a continuous length function...
We prove that noncommutative solenoids are limits, in the sense of the Gromov-Hausdorff propinquity,...
Our dissertation focuses on bringing approximately finite-dimensional (AF) algebras into the realm o...
Over the last 25 years, the notion of "fuzzy spaces" has become ubiquitous in the high-energy physic...
It is proved that the family of equivalence classes of Lip-normed C*-algebras introduced by M. Rieff...
We present a survey of the dual Gromov-Hausdorff propinquity, a noncommutative analogue of the Gromo...
We introduce the quantum Gromov-Hausdorff propinquity, a new distance between quantum compact metric...
summary:We introduce a fuzzy equality for $F$-observables on an $F$-quantum space which enables us t...
It will be shown that the defining relations for fuzzy torus and deformed (squashed) sphere proposed...
In the first part of this thesis, we will follow Kirchberg’s categorical perspective to establish ne...
AbstractIt is proved that the family of equivalence classes of Lip-normed C*-algebras introduced by ...
We classify all weak * limits of squares of normalized eigenfunctions of the Laplacian on two-dimens...
We generalize the Fej\'er-Riesz operator systems defined for the circle group by Connes and van Suij...
T. We construct a topology on the class of pointed proper quantum metric spaces which generalizes th...