Pimsner algebras and Gysin sequences from principal circle actions

被引：12

作者：

Arici, Francesca ^{[1
]}

Kaad, Jens ^{[1
]}

Landi, Giovanni ^{[2
,3
]}

机构：

[1] Int Sch Adv Studies SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[2] Univ Trieste, Dipartimento Matemat & Informat, Via A Valerio 12-1, I-34127 Trieste, Italy

[3] Ist Nazl Fis Nucl, Sez Trieste, Trieste, Italy

来源：

JOURNAL OF NONCOMMUTATIVE GEOMETRY | 2016年 / 10卷 / 01期

关键词：

KK-theory; Pimsner algebras; Gysin sequences; circle actions; quantum principal bundles; quantum lens spaces; quantum weighted projective spaces; C-ASTERISK-ALGEBRAS; CSTAR-ALGEBRAS; QUANTUM;

D O I：

10.4171/JNCG/228

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：29 / 64

页数：36

共 4 条

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