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

Marcolli, Matilde and Mathai, Varghese (1999) Twisted index theory on good orbifolds, I: noncommutative Bloch theory. Communications in Contemporary Mathematics, 1 (4). pp. 553-587. ISSN 0219-1997. doi:10.1142/S0219199799000213.

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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.

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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.
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Australian Research CouncilUNSPECIFIED
Issue or Number:4
Record Number:CaltechAUTHORS:20170713-095029363
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Official Citation:TWISTED INDEX THEORY ON GOOD ORBIFOLDS, I: NONCOMMUTATIVE BLOCH THEORY MATILDE MARCOLLI and VARGHESE MATHAI Communications in Contemporary Mathematics 1999 01:04, 553-587
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79074
Deposited By: Ruth Sustaita
Deposited On:13 Jul 2017 20:02
Last Modified:15 Nov 2021 17:45

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