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funct-anJul 28, 1997
27
citations (OpenAlex)
authors
  • Johan Kustermans
arXiv abstractPDF
paper

One-parameter representations on C*-algebras

arXiv:funct-an/9707009

Abstract

Strongly continuous one-parameter representations on C*-algebras and their extension to the multiplier algebra are investigated. We give also a proof of the Stone theorem on Hilbert C*-modules and look into some related problems.

LaTeX, 40 pages

Cited by in corpus (11)

  • The Haagerup property for locally compact quantum groups
  • KMS-weights on C*-algebras
  • Weight theory for C*-algebraic quantum groups
  • Completely positive definite functions and Bochner's theorem for locally compact quantum groups
  • The functional calculus for regular operators in Hilbert C*-modules revisited
  • Quantum stochastic convolution cocycles III
  • Spherical Fourier Transforms on Locally Compact Quantum Gelfand Pairs
  • Compact quantum subgroups and left invariant C*-subalgebras of locally compact quantum groups
  • Modular properties of matrix coefficients of corepresentations of a locally compact quantum group
  • Amenability and co-amenability of algebraic quantum groups
  • One-parameter isometry groups and inclusions between operator algebras
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