C*-bundle dynamical systems
Operator Algebras
2014-09-26 v2
Abstract
C*-bundle dynamical systems are introduced and their r\^ole within the theory of C*-subalgebras and Fell bundles is investigated. A C*-bundle dynamical system involves an action of a 1-parameter group of "spatial automorphisms" of the C*-bundle together with a notion of covariance with respect to the diffeomorphisms of the base manifold, and turns out to define a class of examples of Arveson's -dynamical systems. An embedding invariant for non-commutative C*-subalgebras (equivalent to a groupoid 2-cocycle by construction) emerges and has presentation analogous to a partition function towards a potential algebraic formulation of quantum gravity.
Keywords
Cite
@article{arxiv.1402.1206,
title = {C*-bundle dynamical systems},
author = {Rachel A. D. Martins},
journal= {arXiv preprint arXiv:1402.1206},
year = {2014}
}
Comments
27 pages, xypic diagrams. Cross reference to other papers: http://arxiv.org/a/martins_r_2