324 research outputs found
A certain synchronizing property of subshifts and flow equivalence
We will study a certain synchronizing property of subshifts called
-synchronization. The -synchronizing subshifts form a large
class of irreducible subshifts containing irreducible sofic shifts. We prove
that the -synchronization is invariant under flow equivalence of
subshifts. The -synchronizing K-groups and the -synchronizing
Bowen-Franks groups are studied and proved to be invariant under flow
equivalence of -synchronizing subshifts. They are new flow equivalence
invariants for -synchronizing subshifts.Comment: 28 page
C*-algebras associated with Hilbert C*-quad modules of finite type
A Hilbert -quad module of finite type has a multi structure of Hilbert
-bimodules with two finite bases. We will construct a -algebra from a
Hilbert -quad module of finite type and prove its universality subject to
certain relations among generators. Some examples of the -algebras from
Hilbert -quad modules of finite type will be presented.Comment: 35 page
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