Multiplicativity of the JLO-character
The paper presents some interesting results concerning the multiplicative property of the index map in non-commutative geometry, where \(\theta\)-summable spectral triples play the role of \(K\)-homology classes and the Jaffe-Lesniewski-Osterwalder character (JLO-character) replaces the homological Chern character. The main results of the paper is Theorem 3.11 which assert that the JLO-character is compatible with the \(A_{\infty}\)-exterior product structure on entire chains.
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