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Pimsner algebras and Gysin sequences from principal circle actions

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dc.contributor.advisor Arici, Francesca Kaad, Jens Landi, Giovanni 2015-04-03T10:14:27Z 2015-04-03T10:14:27Z 2014-03-03
dc.description The preprint is composed of 30 pages and recorded in PDF format. Was published in arXiv en_US
dc.description.abstract A self Morita equivalence over an algebra B, given by a B-bimodule E, is thought of as a line bundle over B. The corresponding Pimsner algebra O_E is then the total space algebra of a noncommutative principal circle bundle over B. A natural Gysin-like sequence relates the KK-theories of O_E and of B. Interesting examples come from O_E a quantum lens space over B a quantum weighted projective line (with arbitrary weights). The KK-theory of these spaces is explicitly computed and natural generators are exhibited. en_US
dc.title Pimsner algebras and Gysin sequences from principal circle actions en_US
dc.type Preprint en_US
dc.subject.miur MAT/07 en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US
dc.identifier.arXiv 1409.5335

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