dc.creator | Chong, Fan Fei | |
dc.date.accessioned | 2020-08-22T17:03:25Z | |
dc.date.available | 2014-06-09 | |
dc.date.issued | 2014-06-09 | |
dc.identifier.uri | https://etd.library.vanderbilt.edu/etd-06052014-203201 | |
dc.identifier.uri | http://hdl.handle.net/1803/12480 | |
dc.description.abstract | Generalizing E-theory for C*-algebras of A. Connes and N. Higson, we defined E-theory for Lp algebras - a bivariant K-theory for closed algebra of bounded linear operators on some Lp(µ) space. We showed that our theory has product, Bott Periodicity, six-term exact sequence in both variables for σ-unital extensions and Mayer-Viertoris exact sequence. We formulated and proved Dual lp Novikov Conjecture for discrete torsion-free groups which admit isometric and metrically proper action on a lp Banach space. | |
dc.format.mimetype | application/pdf | |
dc.subject | Non-commutative Geometry | |
dc.subject | K-theory | |
dc.title | E-theory for Lp algebras and the dual novikov conjecture | |
dc.type | dissertation | |
dc.contributor.committeeMember | Guoliang Yu | |
dc.contributor.committeeMember | Ioana Suvaina | |
dc.contributor.committeeMember | Kalman Varga | |
dc.type.material | text | |
thesis.degree.name | PHD | |
thesis.degree.level | dissertation | |
thesis.degree.discipline | Mathematics | |
thesis.degree.grantor | Vanderbilt University | |
local.embargo.terms | 2014-06-09 | |
local.embargo.lift | 2014-06-09 | |
dc.contributor.committeeChair | Gennadi Kasparov | |