Skip to main content
SpringerLink
Log in

Rieffel induction and strong Morita equivalence in the context of Hilbert modules

  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

In this paper we consider m-regular involutive quantales. We develop the notions of Rieffel induction and strong Morita equivalence for this category analogously to the situation for C*-algebras.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Amira H, Coecke B, Stubbe I (1998) How quantales emerge by introducing induction within the operational approach. Helv Phys Acta 71:554–572

    Google Scholar 

  2. Blecher D (1997) A new approach to C*-modules. Math Annalen 307:253–290

    Google Scholar 

  3. Borceux F, Vitale EM (1992) A Morita theorem in topology. Suppl Rend Circ Mat Palermo II 29:353–362

    Google Scholar 

  4. Echterhoff S, Kaliszewski S, Quigg J, Raeburn I (2000) Naturality and induced representations Bull Aust Math Soc 61:415–438

    Google Scholar 

  5. Lance EC (1995) Hilbert C*-Modules. London Mathematical Society Lecture Note Series 210, Cambridge University Press, Cambridge

  6. Paseka J (1999) Hilbert Q-Modules and Nuclear Ideals. In: Proceedings of the eight conference on category theory and computer science (CTCS '99). Electron Notes Comput Sci 24:319–338

  7. Paseka J (2004) Multiplier algebras of involutive quantales. In: Proceedings of the Olomouc conference 2002 (AAA64) and the potsdam conference 2003 (AAA65). Verlag Johannes Heyn, pp 109–118

  8. Paseka J (2001) Morita equivalence in the context of Hilbert modules. In: Proceedings of the ninth Prague topological symposium. pp 223–251

  9. Paseka J (2001) Interior tensor product of Hilbert modules. In: Proceedings of the Dresden conference 2000 (AAA60) and the summer school 1999. Verlag Johannes Heyn, pp 253–516

  10. Pelletier JW, Rosický J (1997) Simple involutive quantales. J Algebra 195:367–386

    Google Scholar 

  11. Resende P (2001) Quantales, finite observations and strong bisimulation. Theor Comput Sci 254:95–149

    Google Scholar 

  12. Rosenthal KI (1990) Quantales and their applications. Pitman research notes in mathematics series 234, Longman Scientific & Technical

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Masaryk University, Janáčkovo nám. 2a, 66295, Brno, Czech Republic

    J. Paseka

Authors
  1. J. Paseka
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J. Paseka.

Additional information

Financial Support of the NATO Research Fellowship Program and of the Grant Agency of the Czech Republic under the grant No. 201/02/0148 are gratefully acknowledged.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Paseka, J. Rieffel induction and strong Morita equivalence in the context of Hilbert modules. Soft Comput 10, 483–489 (2006). https://doi.org/10.1007/s00500-005-0522-8

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-005-0522-8

Keywords

Search

Navigation