14 citations · 46 across the 9 of their papers we have counts for
9 papers
CCR and CAR flows over convex cones
R. Srinivasan
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.…
E-semigroups over closed convex cones
Anbu Arjunan, R. Srinivasan, S. Sundar
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…
Infinite Mode Quantum Gaussian States
B. V. Rajarama Bhat, Tiju Cherian John, R. Srinivasan
Quantum Gaussian states on Bosonic Fock spaces are quantum versions of Gaussian distributions. In this paper, we explore infinite mode quantum Gaussian states. We extend many of th…
Cohomology for spatial super-product systems
Oliver T. Margetts, R Srinivasan
We introduce a cohomology theory for spatial super- product systems and compute the cocycles for some basic examples called as Clifford super-product systems, thereby distingui…
Non-cocycle-conjugate -semigroups on factors
Oliver T. Margetts, R. Srinivasan
We investigate semigroups on general factors, which are not necessarily of type I, and analyse associated invariants like product systems, super product systems etc. By tenso…
Extendable endomorphisms on factors
Panchugopal Bikram, Masaki Izumi, R. Srinivasan +1
We begin this note with a von Neumann algebraic version of the elementary but extremely useful fact about being able to extend inner-product preserving maps from a total set of the…
Invariants for E_0-semigroups on II_1 factors
Oliver T. Margetts, R. Srinivasan
We introduce four new cocycle conjugacy invariants for E_0-semigroups on II_1 factors: a coupling index, a dimension for the gauge group, a super product system and a C*-semiflow.…
Toeplitz CAR flows and type I factorizations
Masaki Izumi, R. Srinivasan
Toeplitz CAR flows are a class of E_0-semigroups including the first type III example constructed by R. T. Powers. We show that the Toeplitz CAR flows contain uncountably many mutu…
On Product Systems arising from Sum Systems
B. V. Rajarama Bhat, R. Srinivasan
Boris Tsirelson constructed an uncountable family of type III product systems of Hilbert spaces through the theory of Gausian spaces, measure type spaces and `slightly coloured noi…