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Pimsner algebras and Gysin sequences from principal circle actions

TitlePimsner algebras and Gysin sequences from principal circle actions
Publication TypePreprint
2014
AuthorsArici, F, Kaad, J, Landi, G

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.

http://urania.sissa.it/xmlui/handle/1963/34461

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