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Title page for ETD etd-06052014-203201


Type of Document Dissertation
Author Chong, Fan Fei
URN etd-06052014-203201
Title E-theory for Lp algebras and the dual novikov conjecture
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Gennadi Kasparov Committee Chair
Guoliang Yu Committee Member
Ioana Suvaina Committee Member
Kalman Varga Committee Member
Keywords
  • Non-commutative Geometry
  • K-theory
Date of Defense 2014-05-14
Availability unrestricted
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.
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