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On analytic spectral flow for operator algebras

P. W. Ng, Arindam Sutradhar, Cangyuan Wang Studia Mathematica MSC: Primary 46L80; Secondary 47A53 DOI: 10.4064/sm240811-30-5 Published online: 4 September 2025

Abstract

We generalize the Benameur–Carey–Phillips–Rennie–Sukochev–Wojciechowski theory of analytic spectral flow to the context of Hilbert ${\rm C}^{*}$-modules. Among other things, we provide an axiomatization of analytic spectral flow.

Authors

  • P. W. NgDepartment of Mathematics
    University of Louisiana at Lafayette
    Lafayette, LA 70504-3568, USA
    e-mail
  • Arindam SutradharDepartment of Mathematics
    Indian Institute of Technology Madras
    Chennai, Tamil Nadu, 600036, India
    e-mail
  • Cangyuan WangSchool of Mathematical Sciences
    Ocean University of China
    Qingdao, Shandong 266100, P. R. China
    e-mail

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