Index Theoreme: $\delta: T^{loc}_{1} (\mathbb{B}/ \mathcal{L}^{2}) \otimes_{\mathbb{Z}} \mathbb{Z} [1/2] \longrightarrow T^{loc}_{0}(\mathcal{L}^{2})\otimes_{\mathbb{Z}} \mathbb{Z} [1/2]$ \\ est un isomorphisme, \\$\delta [\sigma (U)] = [P_{U} - e]$. [PDF]
This article deals with our program presented in \cite{Teleman_arXiv_III}.\par{\bf Part I: $T$-Theory}. In this part we summarise and set notation for the topics presented in \cite{Teleman_arXiv_III}.\par For any associative algebra $\mathcal{A}$ we ...
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