References
Singer, I. M., Homotopy groups of operator groups.
Berger, C. A. &Coburn, L. A., One parameter semigroups of isometries.Bull. Amer. Math. Soc., 76 (1970), 1125–1129.
Breuer, M., Fredholm theorie in von Neumann algebras, I and II,Math. Ann., 178 (1968) 243–254 and 180 (1969), 313–325.
Coburn, L. A., TheC *-algebra generated by an isometry, I and II.Bull. Amer. Math. Soc., 13 (1967), 722–726, andTrans. Amer. Math. Soc., 137 (1969), 211–217.
Coburn, L. A. &Douglas, R. G., Translation operators on the half-line.Proc. Nat. Acad. Sci. U.S.A., 62 (1969), 1010–1013.
Coburn, L. A., Douglas, R. G., Schaeffer, D. G. & Singer, I. M., OnC *-algebras of operators on a half-space, II: Index theory.Publ. I.H.E.S.
Coburn, L. A. Douglas, R. G. & Singer, I. M., An index theorem for Wiener-Hopf operators on the discrete quarter-plane.
Dixmier, J.,Les C *-algèbres et leurs representations. Gauthier-Villars, Paris, 1964.
Douglas, R. G.,Banach algebra technique in operator theory. Academic Press, New York, 1972.
Douglas, R. G. &Howe, R., On theC *-algebra of Toeplitz operators on the quarter-plane.Trans. Amer. Math. Soc., 158 (1971), 203–217.
Muhly, P., A structure theory for isometric representations of a class of semigroups.
Suciu, I., On the semi-groups of isometries.Studia Math., 30 (1968), 101–110.
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Partially supported by a grant from the National Science Foundation.
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Douglas, R.G. On theC *-algebra of a one-parameter semigroup of isometries. Acta Math. 128, 143–151 (1972). https://doi.org/10.1007/BF02392163
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DOI: https://doi.org/10.1007/BF02392163