Continuous extendability of the shift map to the generalized Markov shift is equivalent to existence of a *-endomorphism of the commutative C*-algebra D_A, yielding explicit spectral radius formulas for weighted endomorphisms.
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Extendable Shift Maps and Weighted Endomorphisms on Generalized Countable Markov Shifts
Continuous extendability of the shift map to the generalized Markov shift is equivalent to existence of a *-endomorphism of the commutative C*-algebra D_A, yielding explicit spectral radius formulas for weighted endomorphisms.