Crossed products by endomorphisms, vector bundles and group duality, II

Preprint English OPEN
Vasselli, Ezio;

We study C*-algebra endomorphims which are special in a weaker sense w.r.t. the notion introduced by Doplicher and Roberts. We assign to such endomorphisms a geometrical invariant, representing a cohomological obstruction for them to be special in the usual sense. Moreo... View more
  • References (27)
    27 references, page 1 of 3

    [1] M.F. Atiyah: K-Theory, Benjamin, New York, 1967.

    [2] H. Baumg¨artel, F. Lled´o: Superselection Structures for C*-algebras with Nontrivial Center, Reviews in Mathematical Physics 9 (1997) 785-819.

    [4] H. Baumg¨artel, F. Lled´o: Duality of compact groups and Hilbert C*- systems For C*-algebras with a nontrivial center, Int. J. Math., Vol. 15, No. 8 (2004) 759-812.

    [5] E. Blanchard: D´eformations de C*-alg´ebres de Hopf, Bull. Soc. math. France 124 (1996) 141-215.

    [6] J. Cuntz: Simple C*-algebras Generated by Isometries, Communications in Mathematical Physics 57 (1977) 173-185.

    [7] J. Dixmier: C*-Algebras, North-Holland Publishing Company, Amsterdam - New York . Oxford, 1977.

    [8] S. Doplicher, C. Pinzari, R. Zuccante: The C*-algebra of a Hilbert bimodule, Bollettino UMI Serie VIII 1 B (1998) 263-282.

    [9] S. Doplicher, J.E. Roberts: Duals of Compact Lie Groups Realized in the Cuntz Algebras and Their Actions on C*-Algebras, Journal of Functional Analysis 74 (1987) 96-120.

    [10] S. Doplicher, J.E. Roberts: Compact Group Actions on C*-Algebras, Journal of Operator Theory 91 (1988) 227-284.

    [11] S. Doplicher, J.E. Roberts: A New Duality Theory for Compact Groups, Inventiones Mathematicae 98 (1989) 157-218.

  • Metrics
Share - Bookmark