Extensions of bundles of C*-algebras

Bundles of C*-algebras can be used to represent limits physical theories whose algebraic structure depends on the value a parameter. The primary example is [Formula: see text] limit quantities in quantum theories, represented framework strict deformation quantization. In this paper, we understand such limiting procedures terms extension bundle some We prove existence and uniqueness results for extensions. Moreover, show that extensions are functorial C*-product, dynamical automorphisms, Lie bracket (in case) fiber C*-algebras.