K-Theory of pseudodifferential operators with semi-periodic symbols on a cylinder
by
Patricia Hess
University of Sao Paulo, Brazil
Coauthors: Severino T. Melo

Let A denote the C*algebra of bounded operators on H=L^2(R x S^1) generated by: (i) multiplications by the smooth functions on S^1, by 2pi-periodic continuous functions on R and by continuous functions on X, where X is the two-point compactification of R, (ii) the operator T which is the square root of the inverse the identity minus the Laplacian on R x S^1, (iii) the derivative with respect to the real variable composed with T, and (iv) the derivative with respect to the circle variable composed with T. We compute the K-groups of A/K(H), where K(H) is the ideal of compact operators of B(H).

Date received: May 17, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawh-50.