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Operators Induced by Graphs

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Abstract

In this paper, we consider the spectral-theoretic properties of certain operators induced by given graphs. Self-adjointness, unitary, hyponormality, and normality of graph-depending operators are considered. As application, we study the finitely supported operators in the free group factor L(F N ).

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References

  1. Cho, I.: Hyponormality of Toeplitz operators with trigonometric polynomial symbols. Master Degree Thesis, Sungkyunkwan University (1999)

  2. Cho, I.: Graph Groupoids and Partial Isometries. LAP Publisher. ISBN:978-3-8383-1397-9 (2009)

  3. Cho, I., Jorgensen, P.E.T.: C *-Subalgebras generated by partial isometries. JMP. doi:10.1063/1.3056588 (2009)

  4. Cho I., Jorgensen P.E.T.: C *-Subalgebras generated by a single operator in B(H). ACTA Appl. Math. 108, 625–664 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  5. Cho, I., Jorgensen, P.E.T.: Measure Framings on Graphs and Corresponding von Neumann Algebras. Preprint (2009)

  6. Gliman, R., Shpilrain, V., Myasnikov, A.G. (eds.): Computational and Statistical Group Theory. Contemporary Mathematics, vol. 298. AMS (2001)

  7. Halmos, P.R.: Hilbert Space Problem Book, 2nd edn. Springer, Berlin. ISBN:0-387-90685-1 (1982)

  8. Radulescu F.: Random matrices, amalgamated free products and subfactors of the C *-algebra of a free group, of noninteger index. Invent. Math. 115, 347–389 (1994)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. Stinespring F.W.: Positive functions on C *-algebras. Proc. Am. Math. Soc. 6, 211–216 (1955)

    MathSciNet  MATH  Google Scholar 

  10. Stefan M.B.: Indecomposability of free group factors over nonprime subfactors and abelian subalgebras. Pac. J. Math. 219(2), 365–390 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  11. Tanaka N.: Conjugacy classes of zero entropy automorphisms on free group factors. Nihonkai M. J. 6(2), 171–175 (1995)

    MATH  Google Scholar 

  12. Yosino, T.: Introduction to Operator Theory. Longman Scientific & Technical, London. ISBN:0-582-23743-2 (1993)

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Authors and Affiliations

  1. Department of Mathematics, St. Ambrose University, 518 W. Locust St., Davenport, IA, 52803, USA

    Ilwoo Cho

  2. Department of Mathematics, University of Iowa, 14 McLean Hall, Iowa City, IA, 52242, USA

    Palle E. T. Jorgensen

Authors
  1. Ilwoo Cho
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  2. Palle E. T. Jorgensen
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Corresponding author

Correspondence to Ilwoo Cho.

Additional information

Palle E. T. Jorgensen is supported by the U. S. National Science Foundation.

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Cho, I., Jorgensen, P.E.T. Operators Induced by Graphs. Lett Math Phys 102, 323–369 (2012). https://doi.org/10.1007/s11005-012-0575-4

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  • DOI: https://doi.org/10.1007/s11005-012-0575-4

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