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math.OA2010★ 3 cited
Lidskii-type formulae for Dixmier traces
A. A. Sedaev, F. A. Sukochev, D. V. Zanin
We establish several analogues of the classical Lidskii Theorem for some special classes of singular traces (Dixmier traces and Connes-Dixmier traces) used in noncommutative geomet…
math.OA2006
The Dixmier trace and asymptotics of zeta functions
A. L. Carey, A. Rennie, A. Sedaev +1
We obtain general theorems which enable the calculation of the Dixmier trace in terms of the asymptotics of the zeta function and of the trace of the heat semigroup. We prove our r…