ON POSSIBLE VALUES OF THE INTERIOR ANGLE BETWEEN INTERMEDIATE SUBALGEBRAS

Abstract We show that all values in the interval $[0,{\pi }/{2}]$ can be attained as interior angles between intermediate subalgebras (as introduced by Bakshi and first named author [‘Lattice of subalgebras’, J. Lond. Math. Soc. (2) 104 (2021), 2082–2127]) a certain inclusion simple unital $C^*$ -algebras. also calculate crossed product any algebras corresponding to action countable discrete group its subgroups on -algebra.