1 citations · 1 across the 6 of their papers we have counts for
6 papers
AQV VI. A holonomy groupoid formulation
Diana Kaminski
The philosophy of the Loop Quantum Gravity approach is to construct the canonical variables by using the duality of infinitesimal connections and holonomies along loops. Based on t…
AQV V. The localised holonomy-flux cross-product *-algebra
Diana Kaminski
In the project AQV the issue of quantum constraints, KMS-states and algebras of quantum configuration and momentum variables in Loop Quantum Gravity has been argued. There a physic…
AQV IV. A new formulation of the holonomy-flux *-algebra
Diana Kaminski
In this article the holonomy-flux *-algebra, which has been introduced by Lewandowski, Okolow, Sahlmann and Thiemann, is modificated. The new *-algebra is called the holonomy-flux…
AQV III. The holonomy-flux cross-product C*-algebra
Diana Kaminski
In this article a new C*-algebra derived from the basic quantum variables: holonomies along paths and group-valued quantum flux operators in the framework of Loop Quantum Gravity i…
AQV II. A new formulation of the Weyl C*-algebra
Diana Kaminski
In this article a new formulation of the Weyl C*-algebra, which has been invented by Fleischhack, in terms of C*-dynamical systems is presented. The quantum configuration variables…
Algebras of Quantum Variables for Loop Quantum Gravity, I. Overview
Diana Kaminski
The operator algebraic framework plays an important role in mathematical physics. Many different operator algebras exist for example for a theory of quantum mechanics. In Loop Quan…