Skip to main content

All Questions

2 questions with no upvoted or accepted answers
Filter by
Sorted by
Tagged with
8 votes
0 answers
339 views

Canonical Time Evolution for Type $II_{1}$-Factors?

This question was spurred by the answer of Steve Huntsman to the MO question here. The Tomita-Takesaki modular automorphism group gives rise to a canonical time evolution on a type $III$ factor (...
Jon Bannon's user avatar
  • 7,047
3 votes
0 answers
178 views

What's the purpose of the operator $(\Delta^{-1}+\lambda)^{-1}$ in Tomita-Takesaki modular theory?

I was reading Tomita-Takesaki modular theory (from all the books, and articles), the goal is to relate a von Neumann algebra $\mathcal{A}$ with its commutant $\mathcal{A}'$ on a Hilbert space $\...
MrPajeet's user avatar
  • 433