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 nonunital 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 

Pages (fromto)  225255 
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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Profiles

Robert Archbold
 School of Natural & Computing Sciences, Mathematical Science  Emeritus Professor
Person: Honorary