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CRM > English > Activities > Curs 2016-2017 > An invitation to C*-algebras
An invitation to C*-algebras
General information  

These lectures are part of the Intensive Research Programme on Operator Algebras: Dynamics and Interactions


Dates: From March 6 to 24, 2017

Location: Centre de Recerca Matemàtica (room A2)




 Course's Presentation

Each week between March 6 to 24 we will have the pleasure of hosting Karen Strung (Polskiej Akademii Nauk).

The lectures will be open to all and those attending 80% of the sessions will be handled a certificate.

These series of lectures will introduce the basics of C* algebra theory, with minimal background required. The course will attempt to cover the following topics:

  • - Quick review of operators on Hilbert space. The algebras B(H) and K(H). Definition of a concrete C*-algebra.
  • - Definition of an abstract C*-algebra, some examples. Spectral radius, characters. The Gelfand theorem for C*-algebras, the functional calculus.
  • - Positive elements, ideals, approximate units, hereditary subalgebras.
  • - Positive linear functionals, representations and the Gelfand-Naimark-Segal (GNS) construction.
  • - Brief indication of current active areas of research.


Contact information 

If you have any questions please contact Alba Tomàs (



Back to the IRP Operator Algebras: Dynamics and Interactions web page