For a von Neumann algebra M with a faithful normal tracial state τ and a positive ergodic homomorpsism α: L1 (M, τ) → L1 (M, τ) such that τ ◦ α = τ and α does not increase the norm in M, we establish a non-commutative counterpart of the classical Wiener–Wintner ergodic theorem.
|Original language||English (US)|
|Number of pages||12|
|Journal||Illinois Journal of Mathematics|
|State||Published - Sep 1 2014|
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