Published November 1999
| Submitted
Journal Article
Open
Twisted index theory on good orbifolds, I: noncommutative Bloch theory
- Creators
-
Marcolli, Matilde
- Mathai, Varghese
Chicago
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Abstract
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 two and four 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.
Additional Information
© 1999 World Scientific Publishing Co Pte Ltd. Received: 20 April 1999. The first author is partially supported by NSF grant DMS-9802480. Research by the second author is supported by the Australian Research Council.Attached Files
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Additional details
- Eprint ID
- 79074
- Resolver ID
- CaltechAUTHORS:20170713-095029363
- NSF
- DMS-9802480
- Australian Research Council
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2017-07-13Created from EPrint's datestamp field
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2021-11-15Created from EPrint's last_modified field