publication . Preprint . 2005

Bundles of C*-categories and duality

Vasselli, Ezio;
Open Access English
  • Published: 27 Oct 2005
Abstract
Comment: 25 pages; contains the first part of the previous version, published on Journal of Functional Analysis
Subjects
arXiv: Mathematics::Category TheoryMathematics::Algebraic Geometry
free text keywords: Mathematics - Category Theory, Mathematics - K-Theory and Homology, Mathematics - Operator Algebras, 18D10, 22D25, 14F05, 55N30
Download from
36 references, page 1 of 3

[1] C.A. Akemann, G.K. Pedersen, J. Tomiyama, Multipliers in C*-algebras. J. Funct. Anal. 13 (1973) 277-301. [OpenAIRE]

[2] M.F. Atiyah, K -Theory, Benjamin, New York (1967).

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

[4] E. Blanchard, E. Kirchberg. Global Glimm halving for C*-bundles. J. Oper. Theory 52 (2004) 385-420. [OpenAIRE]

[5] H. Baumg¨artel, F. Lled´o, Duality of compact groups and Hilbert C*-systems for C*-algebras with a nontrivial center, Int. J. Math. 15 (8) (2004) 759-812.

[6] J. Cuntz, Simple C*-algebras Generated by Isometries, Comm. Math. Phys. 57 (1977) 173-185. [OpenAIRE]

[7] P. Deligne, Categories tannakiennes, in The Grothendieck Festschrift Volume II, Cartier, P., et al., Birkhauser, Boston, (1990) 111-196.

[8] M.J. Dupr´e, R.M. Gillette. Banach bundles, Banach modules and automorphisms of C*- algebras. Pitman (1983).

[9] J. Dixmier: C*-algebras, North-Holland Publishing Company, Amsterdam - New York, Oxford (1977).

[10] S. Doplicher, C. Pinzari, J.E. Roberts, An Algebraic Duality Theory for Multiplicative Unitaries, Int. J. Math. 12 415-459 (2001).

[11] S. Doplicher, J.E. Roberts, Duals of Compact Lie Groups Realized in the Cuntz Algebras and Their Actions on C*-algebras, J. Funct. Anal. 74 (1987) 96-120. [OpenAIRE]

[12] S. Doplicher, J.E. Roberts, A New Duality Theory for Compact Groups, Invent. Math. 98 (1989) 157-218. [OpenAIRE]

[13] S. Doplicher, J.E. Roberts, Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics, Commun. Math. Phys. 131 (1990) 51-107. [OpenAIRE]

[14] S. Doplicher, J.E. Roberts, Endomorphisms of C*-algebras, Cross Products and Duality for Compact Groups, Ann. Math. 130 (1989) 75-119. [OpenAIRE]

[15] M.J. Dupr´e, Classifying Hilbert bundles I, J. Funct. Anal. 15 (1974) 244-278.

36 references, page 1 of 3
Powered by OpenAIRE Open Research Graph
Any information missing or wrong?Report an Issue