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EnglishA 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.
| Titolo: | Pimsner algebras and Gysin sequences from principal circle actions |
| Autori: | |
| Data di pubblicazione: | 2016 |
| Rivista: | |
| 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. |
| Handle: | http://hdl.handle.net/11368/2889290 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.4171/JNCG/228 |
| URL: | http://www.ems-ph.org/journals/show_pdf.php?issn=1661-6952&vol=10&iss=1&rank=2 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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