%0 Report
%D 2014
%T Pimsner algebras and Gysin sequences from principal circle actions
%A Francesca Arici
%A Jens Kaad
%A Giovanni Landi
%X 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.
%U http://urania.sissa.it/xmlui/handle/1963/34461
%1 34631
%2 Mathematics
%4 1
%# MAT/07
%$ Submitted by Francesca Arici (farici@sissa.it) on 2015-04-02T16:28:37Z
No. of bitstreams: 1
1409.5335.pdf: 352695 bytes, checksum: 2d85289a4ebe9f0e86c5540cf19b9473 (MD5)