Skip to main content
Log in

C*-algebras generated by semigroups

  • Published:
Russian Mathematics Aims and scope Submit manuscript

Abstract

In this paper we study C*-algebras generated by a commuting family of isometric operators. Such algebras naturally generalize the Toeplitz algebra. We investigate *-automorphisms and ideals of C*-algebras generated by semigroups.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. Adji and I. Raeburn, “The Ideal Structure of ToeplitzAlgebras,” Integr. Equat. Oper. Theory 48, 281–293 (2004).

    Article  MATH  MathSciNet  Google Scholar 

  2. K. R. Davidson and G. Popescu, “Noncommutative Disk Algebras for Semigroups,” Canad. J. Math. 50(2), 290–311 (1998).

    MATH  MathSciNet  Google Scholar 

  3. R. G. Douglas, “On the C*-algebra of a One-Parameter Semigroup of Isometries,” ActaMath. 128, 143–152 (1972).

    MATH  Google Scholar 

  4. G. K. Pedersen, C*-algebras and their Automorphism Groups (Academic Press, New York, 1979).

    MATH  Google Scholar 

  5. S. Y. Jang, “Generalized Toeplitz Algebra of a Certain Non-Amenable Semigroup,” Bull. Korean Math. Soc. 43(2), 333–341 (2006).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. A. Grigoryan.

Additional information

Original Russian Text © S.A. Grigoryan and A.F. Salakhutdinov, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 10, pp. 68–71.

Submitted by A.M. Bikchentaev

About this article

Cite this article

Grigoryan, S.A., Salakhutdinov, A.F. C*-algebras generated by semigroups. Russ Math. 53, 61–63 (2009). https://doi.org/10.3103/S1066369X09100089

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1066369X09100089

Key words and phrases

Navigation