Abstract We explicitly construct a dynamically incoherent partially hyperbolic endomorphisms of $${{\,\mathrm{\mathbb {T}}\,}}^2$$ T 2 in the homotopy class any linear expanding map with integer eigenvalues. These examples exhibit b...

Let K be a field of characteristic zero, n ≥ 5 an integer, f(x) an irreducible polynomial over K of degree n, whose Galois group contains a doubly transitive simple non-abelian group. Let p be an odd prime, Z[ζp] the ring of integers in the pth cyclotomic field, Cf,p : y p = f(x) the corresponding superelliptic curve and J(Cf,p) its jacobian. Assuming that either n = p + 1 or p does not divide ...

The paper presents a construction of the crossed product of a C *-algebra by a semigroup of endomorphisms generated by partial isometries.