Twisted index theory on good orbifolds, I: noncommutative Bloch theory

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dc.creatorMarcolli, Matilde
dc.creatorMathai, Varghese
dc.date1999-11-15
dc.date.accessioned2026-07-07T05:31:36Z
dc.date.available2026-07-07T05:31:36Z
dc.descriptionThis paper, together with Part II, expands the results of math.DG/9803051. In Part I we study the twisted index theory of elliptic operators on orbifold covering spaces of compact good orbifolds, which are invariant under a projective action of the orbifold fundamental group. We apply these results to obtain qualitative results on real and complex hyperbolic spaces in 2 and 4 dimensions, related to generalizations of the Bethe-Sommerfeld conjecture and the Ten Martini Problem, on the spectrum of self adjoint elliptic operators which are invariant under a projective action of a discrete cocompact group.
dc.description34 pages, LaTex
dc.identifierhttps://arxiv.org/abs/math/9911102
dc.identifierhttp://arxiv.org/abs/math/9911102
dc.identifierCommunications in Contemporary Mathematics, Vol. 1, N. 4 (1999) 553-587
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79406
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.subject46L85, 81Q10
dc.titleTwisted index theory on good orbifolds, I: noncommutative Bloch theory
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