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On the topology of the spectrum of aC*-algebra

✍ Scribed by John Ernest


Publisher
Springer
Year
1975
Tongue
English
Weight
298 KB
Volume
216
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES


The Proximinality of the Centre of aC*-A
✍ D.W.B. Somerset πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 439 KB

It is shown that if A is a unital C\*-algebra then Z(A), the centre of A, is a proximinal subspace. In other words, for each a # A there exists z # Z(A) such that &a&z& is equal to the distance from a to Z(A).

On the spectrum of holonomy algebras
✍ Maria Cristina Abbati; Alessandro ManiΓ  πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 151 KB

Connections on a trivial bundle M Γ— G can be identified with their holonomy maps, i.e. with homomorphisms of a groupoid of paths in M into the gauge group G. For a connected compact G, various algebras depending on the set A of the smooth connections through their holonomy maps have been introduced