### Abstract

We construct the Chern character from the K-theory of twisted perfect complexes of an algebroid stack to the negative cyclic homology of the algebra of twisted matrices associated to the stack.

Original language | English (US) |
---|---|

Title of host publication | Progress in Mathematics |

Publisher | Springer Basel |

Pages | 309-324 |

Number of pages | 16 |

DOIs | |

State | Published - Jan 1 2008 |

### Publication series

Name | Progress in Mathematics |
---|---|

Volume | 265 |

ISSN (Print) | 0743-1643 |

ISSN (Electronic) | 2296-505X |

### Keywords

- Chern character
- K-theory
- cyclic homology
- stack

### ASJC Scopus subject areas

- Analysis
- Algebra and Number Theory
- Geometry and Topology

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## Cite this

Bressler, P., Gorokhovsky, A., Nest, R., & Tsygan, B. L. (2008). Chern character for twisted complexes. In

*Progress in Mathematics*(pp. 309-324). (Progress in Mathematics; Vol. 265). Springer Basel. https://doi.org/10.1007/978-3-7643-8608-5_5