Article ; Online: Free W*-Dynamical Systems From p-Adic Number Fields and the Euler Totient Function
Mathematics, Vol 3, Iss 4, Pp 1095-
2015 Volume 1138
Abstract: In this paper, we study relations between free probability on crossed product W * -algebras ... operator-algebraic properties of W * -dynamical systems induced by ℚp under free-probabilistic (and ...
Abstract | In this paper, we study relations between free probability on crossed product W * -algebras with a von Neumann algebra over p-adic number fields ℚp (for primes p), and free probability on the subalgebra Φ, generated by the Euler totient function ϕ, of the arithmetic algebra A , consisting of all arithmetic functions. In particular, we apply such free probability to consider operator-theoretic and operator-algebraic properties of W * -dynamical systems induced by ℚp under free-probabilistic (and hence, spectral-theoretic) techniques. |
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Keywords | p-Adic number fields ℚp ; p-Adic von neumann algebras ℳp ; dynamical systems induced by ℚp ; arithmetic functions ; the arithmetic algebra A ; the euler totient function ϕ ; Science ; Q ; Mathematics ; QA1-939 |
Subject code | 512 |
Publishing date | 2015-12-01T00:00:00Z |
Publisher | MDPI AG |
Document type | Article ; Online |
Database | BASE - Bielefeld Academic Search Engine (life sciences selection) |
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