Chern character for twisted complexes

Paul Bressler; Alexander Gorokhovsky; Ryszard Nest; Boris Tsygan

doi:10.1007/978-3-7643-8608-5_5

Chern character for twisted complexes

Paul Bressler, Alexander Gorokhovsky, Ryszard Nest, Boris Tsygan

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

7 Scopus citations

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	https://doi.org/10.1007/978-3-7643-8608-5_5
State	Published - 2008

Publication series

Name	Progress in Mathematics
Volume	265
ISSN (Print)	0743-1643
ISSN (Electronic)	2296-505X

Funding

P.B. was supported by the Ellentuck Fund, A.G. was supported by NSF grant DMS-0400342, B.T. was supported by NSF grant DMS-0605030.

Keywords

Chern character
K-theory
cyclic homology
stack

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

Access to Document

10.1007/978-3-7643-8608-5_5

Cite this

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title = "Chern character for twisted complexes",

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.",

keywords = "Chern character, K-theory, cyclic homology, stack",

author = "Paul Bressler and Alexander Gorokhovsky and Ryszard Nest and Boris Tsygan",

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year = "2008",

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language = "English (US)",

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TY - CHAP

T1 - Chern character for twisted complexes

AU - Bressler, Paul

AU - Gorokhovsky, Alexander

AU - Nest, Ryszard

AU - Tsygan, Boris

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - Chern character

KW - K-theory

KW - cyclic homology

KW - stack

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U2 - 10.1007/978-3-7643-8608-5_5

DO - 10.1007/978-3-7643-8608-5_5

M3 - Chapter

AN - SCOPUS:85028347876

T3 - Progress in Mathematics

SP - 309

EP - 324

BT - Progress in Mathematics

PB - Springer Basel

ER -

Chern character for twisted complexes

Abstract

Publication series

Funding

Keywords

ASJC Scopus subject areas

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