Skip to main content

C*-Algebraic Deformation Quantization of Closed Riemann Surfaces

  • Conference paper
C*-Algebras

Abstract

We study an explicit construction of C*-algebraic deformation quantization of closed Riemann surfaces.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, D. Sternheimer, Deformation theory and quantization, I. II, Ann. Phys. 110(1978), 62–110, 111-151.

    Google Scholar 

  2. J. Dixmier, C*-algebras, 1977, Northholland, Amsterdam.

    MATH  Google Scholar 

  3. M. de Wilde, P.B.A. Lecomte, Existence of star-product and of formal deformations in Poisson Lie algebra of arbitrary symplectic manifold, Lett. Math. Phys. 7(1983), 487–496.

    Article  MathSciNet  MATH  Google Scholar 

  4. P. Green, C*-algebras of transformation groups with smooth orbit spce, Pacific J. of Math. 72 (1977), 71–97.

    MATH  Google Scholar 

  5. S. Klimek, A. Lesniewski, Quantum Riemann surfaces I: The unit disc, Comm. Math. Phys.l46(1992), 105–122.

    Google Scholar 

  6. S. Klimek, A. Lesniewski, Quantum Riemann surfaces: II. The discrete series, Lett. Math. Phys. 24 (1992), 125–139.

    Article  MathSciNet  MATH  Google Scholar 

  7. T. Natsume, R. Nest, Topological approach to quantum surfaces, Comm. Math. Phys. 202(1999), 65–87.

    Article  MathSciNet  MATH  Google Scholar 

  8. T. Natsume, R. Nest, I. Peter, C*-algebraic deformation quantization of symplectic manifolds, preprint, 1999.

    Google Scholar 

  9. M.A. Rieffel, Deformation quantisation for Heisenberg manifolds, Comm. Math. Phys. 122(1989), 531–562.

    Article  MathSciNet  MATH  Google Scholar 

  10. A. J.-L. Sheu, Quantization of the Poisson SU/(2) and its Poisson homogeneous space-the 2-sphere, Comm. Math. Phys. 135(1991), 217–232.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Natsume, T. (2000). C*-Algebraic Deformation Quantization of Closed Riemann Surfaces. In: Cuntz, J., Echterhoff, S. (eds) C*-Algebras. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57288-3_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-57288-3_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67562-4

  • Online ISBN: 978-3-642-57288-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics