Certain \(\ast\)-homomorphisms acting on unital \(C^\ast\)-probability spaces and semicircular elements induced by \(p\)-adic number fields over primes \(p\)
DOI10.3934/era.2020038zbMath1456.46053OpenAlexW3009556334MaRDI QIDQ779893
Publication date: 14 July 2020
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2020038
free probabilitysemicircular elements\(p\)-adic number fields \(\mathbb{Q}_p\)homomorphism semigroupspi-shiftsshifts on \(\mathcal{P}\times \mathbb{Z}\)tensor product Banach \(*\)-probability spacesunital \(C^*\)-probability spaces
Free probability and free operator algebras (46L54) Abstract operator algebras on Hilbert spaces (47L30) Adèle rings and groups (11R56) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Representations of (nonselfadjoint) operator algebras (47L55)
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