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math.KT2012
A transformation rule for the index of commuting operators
Jens Kaad, Ryszard Nest
In the setting of several commuting operators on a Hilbert space one defines the notions of invertibility and Fredholmness in terms of the associated Koszul complex. The index prob…
math.KT2010
Joint torsion of several commuting operators
Jens Kaad
We introduce the notion of joint torsion for several commuting operators satisfying a Fredholm condition. This new secondary invariant takes values in the group of invertibles of a…
math.KT2009
A calculation of the multiplicative character
Jens Kaad
We give a formula, in terms of products of commutators, for the application of the odd multiplicative character to higher Loday symbols. On our way we construct a product on the re…