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Abstract: We consider the construction of the basic bundle gerbe on SUn introduced byMeinrenken and show that it extends to a range of groups with unitary actionson a Hilbert space including Un, diagonal tori and the Banach Lie group ofunitary operators differing from the identity by an element of a Schattenideal. In all these cases we give an explicit connection and curving on thebasic bundle gerbe and calculate the real Dixmier-Douady class. Extensive useis made of the holomorphic functional calculus for operators on a Hilbertspace.



Autor: Michael K Murray, Danny Stevenson

Fuente: https://arxiv.org/







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