Abstract
The derivation constant K(A) ≥ 1 2 has been extensively studied for unital noncommutative C ∗ -algebras. In this paper, we investigate properties of K(M(A)) where M(A) is the multiplier algebra of a non-unital C ∗ -algebra A. A number of general results are obtained which are then applied to the group C ∗ -algebras A = C ∗ (GN ) where GN is the motion group R N o SO(N). Utilising the rich topological structure of the unitary dual GdN , it is shown that, for N ≥ 3, K(M(C ∗ (GN ))) = 1 2 ⌈ N 2 ⌉
Original language | English |
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Pages (from-to) | 225-255 |
Number of pages | 31 |
Journal | Advances in Mathematics |
Volume | 280 |
Early online date | 15 May 2015 |
DOIs | |
Publication status | Published - 6 Aug 2015 |
Keywords
- C∗-algebra
- multiplier algebra
- derivation
- motion group
- unitary dual
- graph structure
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Robert Archbold
- School of Natural & Computing Sciences, Mathematical Science - Emeritus Professor
Person: Honorary