Quasi-orthogonal subalgebras of matrix algebras

Details Quasi-orthogonal subalgebras of matrix algebras Quasi-orthogonal subalgebras of matrix algebras

2008-01-09

arxiv.org/abs/0801.1353v1

Mathematics

Operator Algebras

12pages

Scientific paper

We investigate pairwise quasi-orthogonal subalgebras in $M_{p^{kn}}$ which
are isomorphic to $M_{p^{k}}$ for $k \ge 1$, $n \ge 2$ and a prime number $p$
with $p \ge 3$. We prove there exist $p^{2kn}-1/p^{2k}-1$ such subalgebras and
they span $M_{p^{kn}}$.

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