Skip to main content
SpringerLink
Log in
Book cover

Functional Analysis in China pp 300–306Cite as

All Liminal AF-Algebras are Stable Isomorphic to Finite AF-Algebras

  • Chapter

  • 351 Accesses

Part of the book series: Mathematics and Its Applications ((MAIA,volume 356))

Abstract

In [5,6], we have already studied the relationships between the classification of AF-algebras defined by J. Cuntz and G. K. Pedersen [2] and their dimension groups. In this paper, we will continue to study the relation between finite AF -algebras and the luminal AF -algebras [8].

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. O. Bratteli, Inductive limits of finite dimensional C*-algebras, Trans. Amer. Math. Soc., 171(1972), 195–234.

    MathSciNet  MATH  Google Scholar 

  2. J. Cuntz and G.K.Pedersen, Equivalence and traces on C*-algebras, J. Funct. Anal., 33(1979), 135–164.

    Article  MathSciNet  MATH  Google Scholar 

  3. E. Effros, Dimensions and C*-algebras, CBMS regional Conference Series in Math., AMS Vol. 46, (1981).

    MATH  Google Scholar 

  4. G. Elliott, On the classification of inductive limits of sequences ofsemisimple finite dimensional algebras, J. Algebra, 38(1976), 29–44.

    Article  MathSciNet  MATH  Google Scholar 

  5. Z.B. Huang, Classification of AF-algebras and their dimension groups, Chin. Ann. of Math., 15B, 2(1994), 181–192.

    Google Scholar 

  6. Z.B. Huang, Classification of AF-algebras and their dimension groups (II), to appear.

    Google Scholar 

  7. A.J. Lazar and D.C.Taylar, Approximately finite dimensional C*-algebras and Bratteli diagrams, Trans. AMS., 259(1980), 599–619.

    MATH  Google Scholar 

  8. G.K.Pedersen, C*-Algebras and their Automorphism Groups, Academy Press, London New York San Francisco, (1979).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Fudan University, Shanghai, China

    Zhaobo Huang

Authors
  1. Zhaobo Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Mathematics, Academia Sinica, Beijing, China

    Bingren Li

  2. Department of Mathematics, Nanjing University, Nanjing, China

    Shengwang Wang

  3. Department of Mathematics, Fudan University, Shanghai, China

    Shaozong Yan

  4. Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

    Chung-Chun Yang

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Kluwer Academic Publishers

About this chapter

Cite this chapter

Zhaobo Huang (1996). All Liminal AF-Algebras are Stable Isomorphic to Finite AF-Algebras. In: Li, B., Wang, S., Yan, S., Yang, CC. (eds) Functional Analysis in China. Mathematics and Its Applications, vol 356. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0185-8_25

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-0185-8_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6567-2

  • Online ISBN: 978-94-009-0185-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation