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2014

Pimsner algebras and Gysin sequences from principal circle actions

Arici, Francesca, Kaad, Jens, Landi, Giovanni

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Understand

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).

Pimsner algebras and Gysin sequences from principal circle actions · Around

Built on

J. Cuntz
1977
Earlier work this paper cites.
M. Karoubi
1978
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J. Cuntz
1980
Earlier work this paper cites.
M. Pimsner
1980
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C. Nastasescu, F. Van Oystaeyen
1982
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S.L. Woronowicz
1988
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L. Vaksman, Y. Soibelman
1991
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