Abstract
In this paper cyclic one-cocycles of Heisenberg groups and some other Lie group are determined. The concept of almost Lie group of operators is introduced, and the trace formula is given by cyclicone cocyle on the Lie group. The Von Neumann theorem on Weyl commutation relation is generalized in certain case.
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Xia, D. Trace formula for almost lie group of operators and cyclic one-cocycles. Integr equ oper theory 9, 570–587 (1986). https://doi.org/10.1007/BF01204629
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DOI: https://doi.org/10.1007/BF01204629