Measurable 𝐸0-semigroups are continuous
| dc.contributor.author | Murugan, S.P. | |
| dc.date.accessioned | 2020-11-28T05:53:04Z | |
| dc.date.available | 2020-11-28T05:53:04Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | Let 𝐺 be a second countable locally compact Hausdorff topological group and 𝑃 be a closed subsemigroup of 𝐺 containing the identity element 𝑒∈𝐺 . Assume that the interior of 𝑃 is dense in 𝑃 . Let 𝛼={𝛼𝑥}𝑥∈𝑃 be a semigroup of unital normal ∗ -endomorphisms of a von Neumann algebra 𝑀 with separable predual satisfying a natural measurability hypothesis. We show that 𝛼 is an 𝐸0 -semigroup over 𝑃 on 𝑀 . | en_US |
| dc.identifier.citation | Journal of the Australian Mathematical Society | en_US |
| dc.identifier.other | https://doi.org/10.1017/S1446788719000417 | |
| dc.identifier.uri | https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/measurable-e0-semigroups-are-continuous/5FD3CD8DC9A624A82149E3A40F9CA996 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/2371 | |
| dc.language.iso | en | en_US |
| dc.publisher | Cambridge University Press | en_US |
| dc.subject | E0 -semigroups | en_US |
| dc.subject | Ore semigroup | en_US |
| dc.subject | Normal *-homomorphism | en_US |
| dc.subject | Von Neumann algebra | en_US |
| dc.title | Measurable 𝐸0-semigroups are continuous | en_US |
| dc.type | Article | en_US |