A Maximum Modulus Property of Maximal Subalgebras

A Strong Maximum Modulus Theorem for Maximal Function Algebras

Maximal Nonfinitely Generated Subalgebras

We show that “every countable algebra with a nonfinitely generated subalgebra has a maximal nonfinitely generated subalgebra” is provably equivalent to ’1-CA0 over RCA0.

Maximal Subalgebras of Matrix Lie Superalgebras

Dynkin’s classification of maximal subalgebras of simple finite dimensional complex Lie algebras is generalized to matrix Lie superalgebras, i.e., the Lie subsuperalgebras of gl(p|q).

Maximal Ideals in Subalgebras of C(x)

Let X be a completely regular space, and let A(X) be a subalgebra of C(X) containing C*{X). We study the maximal ideals in A(X) by associating a filter Z(f) to each / 6 A(X). This association extends to a oneto-one correspondence between M(A) (the set of maximal ideals of A(X)) and ßX. We use the filters Z(f) to characterize the maximal ideals and to describe the intersection of the free maxima...

Maximal Abelian Subalgebras of O N

We consider maximal abelian subalgebras of O n which are invariant to the standard circle action. It turns out that these are all contained in the zero grade of O n. Then we consider shift invariant maximal abelian subalgebras of the zero grade, which are also invariant to a " second shift " map, and show that these are just infinite tensor products of diagonal matrices in the standard UHF pict...