* French protests and fiscal strains keep traders cautious on the euro
* Canadian dollar hits nearly one-month high after Alberta rejects separation in referendum
* Yen gains as record demand at 20-year JGB auction draws sidelined cash back
* Elice Group's 32% debut plunge revived doubts over durability of AI-linked inflows
NEW YORK, Oct 20 (Reuters) - The US dollar slipped on Tuesday in line with falling oil prices and longer-dated Treasury yields as traders evaluated the impact of rising tensions in the US war with Iran and the durability of strong capital inflows into US AI companies.