* Dollar index hovers near 2-1/2-week lows
* Emerging market currencies supported after Turkey's big hike
* Graphic: World FX rates in 2018 http://tmsnrt.rs/2egbfVh (Adds details and quotes, updates prices)
By Shinichi Saoshiro
TOKYO, Sept 14 (Reuters) - The dollar dipped on Friday after weaker-than-expected U.S. inflation data, with the currency already sagging on signs of reduced trade tensions between the United States and China.
Emerging currencies, like the South African rand and the Mexican peso, held onto to gains having surged, as investors in emerging markets registered relief that Turkey's central bank had hiked its policy rate to 24 percent to restore confidence in the lira. greenback took a hit overnight after the U.S. consumer price index (CPI), the government's broadest inflation gauge, rose just 0.2 percent in August and less than the 0.3 percent projected by analysts in a Reuters poll. dollar has sagged mainly due to the soft U.S. CPI," said Masafumi Yamamoto, chief forex strategist at Mizuho Securities in Tokyo.
The dollar's index against a basket of six major currencies was a shade lower at 94.491 .DXY after slipping 0.3 percent on Thursday, when it touched 94.428, its lowest since Aug. 31.
The euro inched up 0.05 percent to $1.1695 EUR= after gaining more than 0.5 percent overnight when it brushed a two-week high of $1.1701.
The ECB kept policy unchanged as expected on Thursday, staying on track to end its bond purchases this year and raise interest rates next autumn. Turkish lira was a shade weaker at 6.137 per dollar TRYTOM=D4 after ending the previous day on a gain of more than 4 percent.
The lira surged after Turkey's central bank raised its benchmark one-week repo rate by 625 basis points to 24 percent on Thursday, in a bid to stabilise the currency, which had slumped to a record low against the dollar a month ago. tightening policy the central bank demonstrated an independent streak, as Turkish President Tayipp Erdogan is a self-declared enemy of high interest rates.
Following the lira's rally, the South African rand ZAR=D4 gained 1.3 percent against the dollar on Thursday and the Mexican peso MXN=D4 rose 1 percent.
MSCI's emerging markets currency index .MIEM00000CUS bounced further away from a 16-month low reached earlier in the week.
"The rate hike by the Turkish central bank deserves praise but the key point going forward is President Erdogan's views on the monetary tightening," said Kota Hirayama, senior emerging market economist at SMBC Nikko Securities.
"It is naive to assume that Erdogan will continue respecting central bank independence. The Turkish central bank will lose credibility again and its rate hike will be wasted if monetary policy is disrupted by politics."
China's yuan was 0.2 percent weaker at 6.8520 CNY=CFXS in onshore trade after gaining more than 0.4 percent the previous day.
Data released on Friday showed China's investment growth for August fall to a new record low, while industrial output and retail sales for the month both rose by more than expected. Australian dollar, seen as a proxy for China-related trades as well as a barometer of risk sentiment, was nearly flat at $0.7194 AUD=D4 .
The Aussie was headed for a gain of more than 1 percent on the week, having pulled back from a 2-1/2-year low of $0.7085 plumbed on Tuesday.
The dollar traded at 111.83 yen JPY= after climbing to 112.08 yen, its highest since Aug. 1, with rising equities dimming the Japanese currency's safe-have allure.