Journal article
Infinite loop spaces and nilpotent K-theory
- Abstract:
-
Using a construction derived from the descending central series of the free groups, we produce filtrations by infinite loop spaces of the classical infinite loop spaces BSU, BU, BSO, BO, BSp, BGL∞(R) + and Q0(S 0 ). We show that these infinite loop spaces are the zero spaces of non-unital E∞-ring spectra. We introduce the notion of q-nilpotent K-theory of a CW-complex X for any q ≥ 2, which extends the notion of commutative K-theory defined by Adem-G´omez, and show that it is represented by Z...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Bibliographic Details
- Publisher:
- Mathematical Sciences Publishers Publisher's website
- Journal:
- Algebraic and Geometric Topology Journal website
- Volume:
- 17
- Issue:
- 2
- Pages:
- 869–893
- Publication date:
- 2017-03-14
- Acceptance date:
- 2016-09-30
- DOI:
- EISSN:
-
1472-2739
- ISSN:
-
1472-2747
Item Description
- Keywords:
- Pubs id:
-
pubs:647239
- UUID:
-
uuid:08e99695-9e2e-4fca-9f42-8cdb615b2864
- Local pid:
- pubs:647239
- Source identifiers:
-
647239
- Deposit date:
- 2016-09-30
Terms of use
- Copyright holder:
- Mathematical Sciences Publishers
- Copyright date:
- 2017
- Notes:
- First published in Algebraic and Geometric Topology in 17(2) 2017 by Mathematical Sciences Publishers.
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