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Noncommutative geometry of the quantum disk

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Abstract

We discuss various aspects of the noncommutative geometry of a smooth subalgebra of the Toeplitz algebra. In particular, we study the structure of derivations on this subalgebra.

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, 402 N. Blackford St., Indianapolis, IN, 46202, USA

    Slawomir Klimek

  2. Department of Mathematics and Statistics, Mississippi State University, 175 President’s Cir., Mississippi State, MS, 39762, USA

    Matt McBride

  3. Department of Mathematics, Pennsylvania State University, 107 McAllister Bld., University Park, State College, PA, 16802, USA

    J. Wilson Peoples

Authors
  1. Slawomir Klimek
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  2. Matt McBride
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  3. J. Wilson Peoples
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Corresponding author

Correspondence to Matt McBride.

Additional information

Communicated by M. S. Moslehian.

We would like to thank M. Khalkhali for helpful comments.

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Klimek, S., McBride, M. & Peoples, J.W. Noncommutative geometry of the quantum disk. Ann. Funct. Anal. 13, 53 (2022). https://doi.org/10.1007/s43034-022-00199-0

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  • DOI: https://doi.org/10.1007/s43034-022-00199-0

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