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|Title:||The basic bundle gerbe on unitary groups|
|Citation:||Journal of Geometry and Physics, 2008; 58(11):1571-1590|
|Publisher:||Elsevier Science BV|
|Abstract:||We consider the construction of the basic bundle gerbe on SU(n) introduced by Meinrenken and show that it extends to a range of groups with unitary actions on a Hilbert space including U(n) and Up(H), the Banach Lie group of unitaries differing from the identity by an element of a Schatten ideal. In all these cases we give an explicit connection and curving on the basic bundle gerbe and calculate the real Dixmier–Douady class. Extensive use is made of the holomorphic functional calculus for operators on a Hilbert space|
|Keywords:||Bundle gerbes; Unitary groups; Holomorphic functional calculus; Connection|
|Rights:||Copyright © 2008 Elsevier B.V. All rights reserved.|
|Appears in Collections:||Mathematical Sciences publications|
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