A calculation of the multiplicative character
Jens Kaad
TL;DR
This paper develops a formula involving commutators for applying the odd multiplicative character to higher Loday symbols, exploring related K-theory and Chern character properties.
Contribution
It introduces a new formula connecting the odd multiplicative character with higher Loday symbols and constructs a product on relative K-groups.
Findings
Derived a formula using products of commutators
Constructed a product on relative K-groups
Analyzed multiplicative properties of the relative Chern character
Abstract
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 relative K-groups and investigate the multiplicative properties of the relative Chern character.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Algebra and Geometry · Algebraic and Geometric Analysis