Equivariant K-Theory

Alexander S. Merkurjev ()
Additional contact information
Alexander S. Merkurjev: University of California, Department of Mathematics

Chapter V.2 in Handbook of K-Theory, 2005, pp 925-954 from Springer

Abstract: Abstract The equivariant K-theory was developed by R. Thomason in [21]. Let an algebraic group G act on a variety X over a field F. We consider G-modules, i.e., $$ \mathcal{O}_{X} $$ -modules over X that are equipped with an G-action compatible with one on X. As in the non-equivariant case there are two categories: the abelian category ℳ(G; X) of coherent G-modules and the full subcategory $$ \mathcal{P}(G;X) $$ consisting of locally free $$ \mathcal{O}_{X} $$ -modules. The groups K' n (G; X) and K n (G; X) are defined as the K-groups of these two categories respectively.

Keywords: Vector Bundle; Algebraic Group; Spectral Sequence; Toric Variety; Borel Subgroup (search for similar items in EconPapers)
Date: 2005
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27855-9_18

Ordering information: This item can be ordered from
http://www.springer.com/9783540278559

DOI: 10.1007/978-3-540-27855-9_18

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().