Mahanta, Snigdhayan (2016) Symmetric monoidal noncommutative spectra, strongly self-absorbing C*-algebras, and bivariant homology. JOURNAL OF NONCOMMUTATIVE GEOMETRY, 10 (4). pp. 1269-1301. ISSN 1661-6952, 1661-6960
Full text not available from this repository. (Request a copy)Abstract
Continuing our project on noncommutative (stable) homotopywe construct symmetric monoidal infinity-categorical models for separable C*-algebras SC infinity* and noncommutative spectra NSp using the framework of Higher Algebra due to Lurie. We study smashing (co) localizations of SC infinity* and NSp with respect to strongly self-absorbing C*-algebras. We analyse the homotopy categories of the localizations of SC infinity* and give universal characterizations thereof. We construct a stable infinity-categorical model for bivariant connective E-theory and compute the connective E-theory groups of 0(infinity)-stable C*-algebras. We also introduce and study the nonconnective version of Quillen's nonunital K'-theory in the framework of stable infinity-categories. This is done in order to promote our earlier result relating topological T-duality to noncommutative motives to the infinity-categorical setup. Finally, we carry out some computations in the case of stable and 0(infinity)-stable C*-algebras.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | K-THEORY; TRIANGULATED CATEGORIES; STABLE-HOMOTOPY; EXCISION; RINGS; Noncommutative spectra; stable infinity-categories; strongly self-absorbing C*-algebras; connective E-theory; noncommutative motives; T-duality |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 13 Mar 2019 12:51 |
| Last Modified: | 13 Mar 2019 12:51 |
| URI: | https://pred.uni-regensburg.de/id/eprint/2588 |
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