30 citations · 87 across the 14 of their papers we have counts for
18 papers
Continuity of States on Non-Unital Differential Algebras in Loop Quantum Cosmology
Christian Fleischhack
In a recent paper, Engle, Hanusch and Thiemann showed that there is a unique state on the reduced holonomy-flux -algebra of homogeneous isotropic loop quantum cosmology, that…
Kinematical Uniqueness of Loop Quantum Gravity
Christian Fleischhack
We review uniqueness results for the kinematical part of loop quantum gravity. After sketching the general loop formalism, the holonomy-flux and the Weyl algebras are introduced. I…
Kinematical Foundations of Loop Quantum Cosmology
Christian Fleischhack
First, we review the -algebraic foundations of loop quantization, in particular, the construction of quantum configuration spaces and the implementation of symmetries. Then…
Symmetries of Analytic Paths
Christian Fleischhack
The symmetries of paths in a manifold are classified with respect to a given pointwise proper action of a Lie group on . Here, paths are embeddings of a compact interval…
Spectra of Abelian C*-Subalgebra Sums
Christian Fleischhack
Let be the C*-algebra of bounded continuous functions on some non-compact, but locally compact Hausdorff space . Moreover, let be some ideal and be some uni…
Ashtekar Variables: Structures in Bundles
Christian Fleischhack, Philipp Levermann
Canonical gravity can be formulated by means of a densitized dreibein together with an SU(2) connection. These so-called Ashtekar variables are the fundamental quantities, loop qua…