Noncommutative Maslov Index and Eta Forms
| dc.creator | Wahl, Charlotte | |
| dc.date | 2003-09-19 | |
| dc.date | 2006-05-06 | |
| dc.date.accessioned | 2026-07-07T06:35:43Z | |
| dc.date.available | 2026-07-07T06:35:43Z | |
| dc.description | We define and prove a noncommutative generalization of a formula relating the Maslov index of a triple of Lagrangian subspaces of a symplectic vector space to eta-invariants associated to a pair of Lagrangian subspaces generalizing a result of Bunke and Koch in the family case. The noncommutative Maslov index, defined for modules over a $C^*$-algebra $\A$, is an element in $K_0(\A)$. The generalized formula calculates its Chern character in the de Rham homology of certain dense subalgebras of $\A$. The proof, modelled on the proof by Bunke and Koch, is a noncommutative Atiyah-Patodi-Singer index theorem for a particular Dirac operator twisted by an $\A$-vector bundle. We develop an analytic framework for this type of index problem. | |
| dc.description | 122 pages, 1 figure; based on the author's PhD-thesis; Changes in Introduction, §1.3, §4.5 added, new notion of trace class operators, some streamlining | |
| dc.identifier | https://arxiv.org/abs/math/0309323 | |
| dc.identifier | http://arxiv.org/abs/math/0309323 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99877 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Operator Algebras | |
| dc.subject | 58J22; 53D12; 58J28; 46L87 | |
| dc.title | Noncommutative Maslov Index and Eta Forms | |
| dc.type | text |