TY - RPRT
T1 - Pimsner algebras and Gysin sequences from principal circle actions
Y1 - 2014
A1 - Francesca Arici
A1 - Jens Kaad
A1 - Giovanni Landi
AB - 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.
UR - http://urania.sissa.it/xmlui/handle/1963/34461
N1 - The preprint is composed of 30 pages and recorded in PDF format. Was published in arXiv
U1 - 34631
U2 - Mathematics
U4 - 1
U5 - MAT/07
ER -