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arXiv · 1807.11375

E-semigroups over closed convex cones

Anbu Arjunan·R. Srinivasan·S. Sundar
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Abstract

We initiate a study of E-semigroups over convex cones. We prove a structure theorem for E-semigroups which leave the algebra of compact operators invariant. Then we study in detail the CCR flows, E$_0$semigroups constructed from isometric representations, by describing their units and gauge groups. We exhibit an uncountable family of $2-$parameter CCR flows, containing mutually non-cocycle-conjugate E$_0$-$semigroups.

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Anbu Arjunan, R. Srinivasan, S. Sundar. 2018-07-30. E-semigroups over closed convex cones. https://arxiv.org/abs/1807.11375

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