Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Is it equivalent for a separable, locally compact group:

  • the group is type $1$,
  • every unitary representation $\pi$ has a trace $\mathrm{tr} \; \pi: C_c^\infty(G) \rightarrow \mathbb{C}$?
share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.