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Completely positive maps of order zero on pro-đ¶âˆ—-algebras

  • Maria JoiĆŁa EMAIL logo
Veröffentlicht/Copyright: 25. September 2020
Forum Mathematicum
Aus der Zeitschrift Forum Mathematicum Band 33 Heft 1

Abstract

We extend the definition of order zero maps to the setting of pro-C*-algebras and generalize structure theorems of order zero maps between C*-algebras to strongly bounded order zero maps between pro-C∗-algebras. An application to tensor products is included.

Keywords: Completely positive maps
MSC 2010: 46L05

Communicated by Siegfried Echterhoff

Acknowledgements

The author would like to thank the referee for his/her careful reading and useful comments.

References

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Received: 2020-01-15
Revised: 2020-08-01
Published Online: 2020-09-25
Published in Print: 2021-01-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

Artikel in diesem Heft

  1. Frontmatter
  2. Optimal sup norm bounds for newforms on GL2 with maximally ramified central character
  3. On three-variable expanders over finite valuation rings
  4. Completely positive maps of order zero on pro-đ¶âˆ—-algebras
  5. Hybrid subconvexity for class group 𝐿-functions and uniform sup norm bounds of Eisenstein series
  6. Special value formula for the twisted triple product L-function and an application to the restricted L2-norm problem
  7. Generalised Iwasawa invariants and the growth of class numbers
  8. Laws of the iterated logarithm on covering graphs with groups of polynomial volume growth
  9. The geometric sieve for quadrics
  10. On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function I: Denseness
  11. Commutative algebraic monoid structures on affine surfaces
  12. Representations induced from the Zelevinsky segment and discrete series in the half-integral case
  13. A genuine analogue of the Wiener Tauberian theorem for some Lorentz spaces on SL(2,ℝ)
  14. From subcategories to the entire module categories
  15. Coherent state transform for Landau levels on quasi-tori
  16. On rational homotopy and minimal models
https://doi.org/10.1515/forum-2020-0012
Schlagwörter fĂŒr diesen Artikel
Completely positive maps

Artikel in diesem Heft

  1. Frontmatter
  2. Optimal sup norm bounds for newforms on GL2 with maximally ramified central character
  3. On three-variable expanders over finite valuation rings
  4. Completely positive maps of order zero on pro-đ¶âˆ—-algebras
  5. Hybrid subconvexity for class group 𝐿-functions and uniform sup norm bounds of Eisenstein series
  6. Special value formula for the twisted triple product L-function and an application to the restricted L2-norm problem
  7. Generalised Iwasawa invariants and the growth of class numbers
  8. Laws of the iterated logarithm on covering graphs with groups of polynomial volume growth
  9. The geometric sieve for quadrics
  10. On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function I: Denseness
  11. Commutative algebraic monoid structures on affine surfaces
  12. Representations induced from the Zelevinsky segment and discrete series in the half-integral case
  13. A genuine analogue of the Wiener Tauberian theorem for some Lorentz spaces on SL(2,ℝ)
  14. From subcategories to the entire module categories
  15. Coherent state transform for Landau levels on quasi-tori
  16. On rational homotopy and minimal models
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