arXiv Open Access 2019

CCR and CAR flows over convex cones

R. Srinivasan
Lihat Sumber

Abstrak

Recently it is proved in arXiv:1906.05493v1 [math.OA] that CCR flows over convex cones are cocycle conjugate if and only if the associated isometric representations are conjugate. We provide a very short, simple and direct proof of that. Using the same idea we prove the analogous statement for CAR flows as well. Further we show that CCR flows are not cocycle conjugate to the CAR flows when the (multi-parameter) isometric representation is `proper', a condition which is satisfied by all known examples.

Topik & Kata Kunci

Penulis (1)

R

R. Srinivasan

Format Sitasi

Srinivasan, R. (2019). CCR and CAR flows over convex cones. https://arxiv.org/abs/1908.00188

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2019
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓