Extensions of bundles of C*-algebras
نویسندگان
چکیده
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.
منابع مشابه
the structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولamenability of banach algebras
chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...
15 صفحه اولBundles of C*-algebras and
An overview about C*-algebra bundles with a Z -grading is presented, with particular emphasis on classification questions. In particular, we discuss the role of the representable KK(X;−,−)-bifunctor introduced by Kasparov. As an application, we consider Cuntz-Pimsner algebras associated with vector bundles, and give a classification in terms of K theoretical invariants in the case in which the ...
متن کاملEquivalence and Continuous Bundles of C � Algebras
A structural description is given of the separable C algebras that are contractible in KK theory or E theory Subsequently it is shown that two separable C algebras A and B are KK equivalent if and only if there is a bundle of separable C algebras over which is piecewise trivial with no more than six points of non triviality such that the kernel of each ber map is KK contractible all ber maps ar...
متن کاملExtensions of C∗-algebras and Quasidiagonality
Using extension theory and recent results of Elliott and Gong we exhibit new classes of nuclear stably finite C∗-algebras , which have real rank zero and stable rank one, and are classified by K-theoretical data. Various concepts of quasidiagonality are employed to show that these C*-algebras are not inductive limits of (sub)homogeneous C∗-algebras.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Reviews in Mathematical Physics
سال: 2021
ISSN: ['1793-6659', '0129-055X']
DOI: https://doi.org/10.1142/s0129055x21500252