Professor of Mathematics. Acting Chair of Mathematics-Statistics Department since March 2016. (Former Department Chair, April 2003--June 2007; Acting Chair during July--December 2008, January--June 2014.)
Broadly, Functional Analysis. Primarily,
K-theory, noncommutative geometry, theoretical and mathematical Physics. More
Recent Papers in Refereed Journals
The K-inductive Structure of the Noncommutative Fourier Transform, Math. Scand. (2018), 15 pages, to appear. arXiv:1706.00076
Semiflat Orbifold Projections,
Houston J. Math.
44 (2018), No. 2, 645-663.
Orthogonality Relations And Topological Invariants Of Fourier Invariant Fields Of Projections, J. Operator Theory 77 (2017), No. 1, 191-203. Online Abstract
Projections Nearly Orthogonal To Their Symmetries, J. Math. Analysis Appl. 446 (2017), No. 2, 1356-1361.
Toroidal Orbifolds of Z3 and Z6 Symmetries of Noncommutative Tori,
Nuclear Physics B 894 (2015), 496-526.
Dedicated to George Elliott on his 70th birthday.
My first best paper
Inductive limit automorphisms of the irrational rotation algebra, Comm. Math. Phys. 171 (1995), no. 2, 365-381. MR 97a:46088
Recently Completed Papers
K-theory of Rotation Algebra Crossed Products by Free and Amalgamated Products of Finite Cyclic Groups (2018), 16 pages.
Papers In Progress
Orbifolds of the Weyl Algebra and their Traces (2018), 28 pages (approx).
K-theory of Approximately Central Projections (2018), 32 pages (approx).
The Polynomial Rotation Algebra (2018), 15 pages (approx). (Expository paper on the rotation algebra without topology.)
How Einstein Got His Field Equations, (2016), 7 pages.
(Expository paper based on a lecture by same title in commemoration of General Relativity centennial.) It is posted on the Cornell arXiv.
Anticommutator Norm Formula for Projection Operators, preprint (2015), 8 pages. arXiv:1604.00699v1
My research has been partly supported by NSERC from 1990 until 2011. Thank you, NSERC.
of Mathematics and Statistics
The University of Northern B.C.
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