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The K-theory and the invertibility of almost periodic Toeplitz operators

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We use K-theory to study the invertibility of systems of almost periodic Toeplitz operators.

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References

  1. B. Blackdar, K-Theory for operator algebras, MSRI Publications, 1985.

  2. R. Carey & M. Pincus, Mean motions, principal functions and the zeros of Dirichlet series,Integral Eq. & Operator Theory,2 (1979), 484–502.

    Google Scholar 

  3. L. Coburn, R. Douglas, D. Schaeffer & I. Singer, On the C*-algebras on a half-space, II, Index theory,Inst. Hautes Etudes Sci. Publ. Math. 40 (1971) 69–79.

    Google Scholar 

  4. R. Curto, P. Muhly, & J. Xia, Wiener-Hopf operators and generalized analytic functions,Integral Eq. & Operator Theory,8 (1985) 650–673.

    Google Scholar 

  5. R. Curto, P. Muhly & J. Xia, Toeplitz operators on flows,Pre-print, 1987.

  6. A. Connes, An analogue of the Thom isomorphism of C*-algebras by an action ofR,Adv. in Math.,39 (1981) 31–55.

    Google Scholar 

  7. R. Douglas,Banach algebra techniques in operator theory, Academic Press, New York 1972.

    Google Scholar 

  8. R. Douglas, On The C*-algebras of a one-parameter semi-group of isometries,Acta Math. 128 (1972) 143–151.

    Google Scholar 

  9. R. Douglas, Another look at real-valued index theory,Proceedings of Special Year on Operator Theory, Bloomington, 1985–86.

  10. E. Effros & F. Hahn, Locally compact transformation groups and C*-algebras.,Mem. Amer. Math. Soc.,75 (1967) 72.

    Google Scholar 

  11. R. Ji & J. Kaminker, The K-theory of Toeplitz extensions,Pre-print, 1987.

  12. R. Ji & J. Xia, On the classification of commutator ideals, to appear in the May, 1988 issue ofJ. Funct. Anal.

  13. W. Paschke, On the mapping torus of an automorphism,Proc. Amer. Math. Soc.,88 (1983) 481–485.

    Google Scholar 

  14. M. Pimsner & D. Voiculescu, Exact sequences for K-groups of certain crossed product C*-algebras,J. Operator Theory,4 (1980) 93–118.

    Google Scholar 

  15. D. Schaeffer, An index theory for systems of difference operators on a half-space.,Inst. Hautes Etudes Sci. Publ. Math.,42 (1973) 397–403.

    Google Scholar 

  16. M. Shubin, Almost periodic functions and partial differential operators,Russian Math. Surveys, 33 (1978) 1–52.

    Google Scholar 

  17. J. Taylor, Banach algebras and topology, inAlgebra and Analysis (J. Williamson, Ed.), Academic Press, New York 1975.

    Google Scholar 

  18. J. Xia, Wiener-Hopf operators with piecewise continuous almost periodic symbol,J. Operator Theory 14 (1985) 147–171.

    Google Scholar 

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Research supported in part by NSF under Grant No. DMS-8717185.

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Xia, J. The K-theory and the invertibility of almost periodic Toeplitz operators. Integr equ oper theory 11, 267–286 (1988). https://doi.org/10.1007/BF01272122

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