A note on invariants of flows induced by Abelian differentials on Riemann surfaces

dc.creatorEckl, Thomas
dc.date2004-02-11
dc.date.accessioned2026-07-07T05:05:21Z
dc.date.available2026-07-07T05:05:21Z
dc.descriptionThe real and imaginary part of any Abelian differential on a compact Riemann surface define two flows on the underlying compact orientable $C^\infty$ surface. Furthermore, these flows induce an interval exchange transformation on every transversal simple closed curve, via Poincaré recurrence. This note shows that the ordered $K_0$ groups of several $C^\ast$ algebras naturally associated to one of the flows resp. interval exchange transformations are isomorphic, mainly using methods of I. Putnam.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0402177
dc.identifierhttp://arxiv.org/abs/math/0402177
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70134
dc.subjectOperator Algebras
dc.subject37E55; 37E05, 46L55
dc.titleA note on invariants of flows induced by Abelian differentials on Riemann surfaces
dc.typetext

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