2014•Bulletin of the Polish Academy of Sciences MathematicsOpen access

Truncation and Duality Results for Hopf Image Algebras

Teodor Banica

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Abstract

Associated to an Hadamard matrix $H\in M_N(\mathbb C)$ is the spectral measure $\mu\in\mathcal P[0,N]$ of the corresponding Hopf image algebra, $A=C(G)$ with $G\subset S_N^+$. We study a certain family of discrete measures $\mu^r\in\mathcal P[0,N]$

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Associated to an Hadamard matrix $H\in M_N(\mathbb C)$ is the spectral measure $\mu\in\mathcal P[0,N]$ of the corresponding Hopf image algebra, $A=C(G)$ with $G\subset S_N^+$. We study a certain family of discrete measures $\mu^r\in\mathcal P[0,N]$

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Available abstract

Associated to an Hadamard matrix $H\in M_N(\mathbb C)$ is the spectral measure $\mu\in\mathcal P[0,N]$ of the corresponding Hopf image algebra, $A=C(G)$ with $G\subset S_N^+$. We study a certain family of discrete measures $\mu^r\in\mathcal P[0,N]$

Key concepts: Image (mathematics), Duality (order theory), Combinatorics, Idempotence, Mathematics, Hadamard transform, Noncommutative geometry, Limit (mathematics)

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