Dadarlat, Marius and Pennig, Ulrich
2015.
Unit spectra of K-theory from strongly self-absorbing C*-algebras.
Algebraic and Geometric Topology
15
(1)
, pp. 137-168.
10.2140/agt.2015.15.137
![]() |
This is the latest version of this item.
|
PDF
- Accepted Post-Print Version
Download (425kB) | Preview |
Abstract
We give an operator algebraic model for the first group of the unit spectrum gl_1(KU) of complex topological K-theory, i.e. [X,BGL_1(KU)], by bundles of stabilized infinite Cuntz C*-algebras O_{\infty} \otimes \K. We develop similar models for the localizations of KU at a prime p and away from p. Our work is based on the I-monoid model for the units of K-theory by Sagave and Schlichtkrull and it was motivated by the goal of finding connections between the infinite loop space structure of the classifying space of the automorphism group of stabilized strongly self-absorbing C*-algebras that arose in our generalization of the Dixmier-Douady theory and classical spectra from algebraic topology.
Item Type: | Article |
---|---|
Date Type: | Publication |
Status: | Published |
Schools: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Publisher: | Mathematical Sciences Publishers (MSP) |
ISSN: | 1472-2747 |
Date of First Compliant Deposit: | 2 December 2016 |
Date of Acceptance: | 21 July 2014 |
Last Modified: | 26 Nov 2020 23:05 |
URI: | http://orca.cf.ac.uk/id/eprint/89484 |
Available Versions of this Item
- Unit spectra of K-theory from strongly self-absorbing C*-algebras. (deposited 21 Apr 2016 10:31) [Currently Displayed]
Citation Data
Cited 4 times in Scopus. View in Scopus. Powered By Scopus® Data
Actions (repository staff only)
![]() |
Edit Item |